{ "query": { "display": "$$-5\\left(6-4\\right)-3\\left(5\\right)$$", "symbolab_question": "PEMDAS#-5(6-4)-3(5)" }, "solution": { "level": "PERFORMED", "subject": "Pre Algebra", "topic": "Order of Operations", "subTopic": "Other", "default": "-25", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$-5\\left(6-4\\right)-3\\left(5\\right)=-25$$", "input": "-5\\left(6-4\\right)-3\\left(5\\right)", "steps": [ { "type": "step", "primary": "Follow the PEMDAS order of operations", "meta": { "title": { "extension": "P-Parentheses<br/>E-Exponents<br/>M-Multiply<br/>D-Divide<br/>A-Add<br/>S-Subtract" } } }, { "type": "interim", "title": "Calculate within parentheses $$\\left(6-4\\right)\\::{\\quad}2$$", "input": "6-4", "steps": [ { "type": "step", "primary": "$$6-4=2$$", "result": "=2" } ], "meta": { "interimType": "Pemdas Parentheses Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7geOJFEIAByUHIGsSzPK3BDJtw+VfK/xhVch42sV1JSb4YlQLD2St3CXbK7XscSi1u+PKXfioJKA2/HoLyLCH38FRdreSWRCJWtb6VW77KDZjqe1cZCrRas+hy6+K7ha/8LfSxJ+0AgVLpCSnLX0iSr2rP6B5DsFQYLpQxR5rnNP7emennsHDUClDe6JilVoI5u8o4L7XEtYWqYdG99mK/w==" } }, { "type": "step", "result": "=-5\\cdot\\:2-3\\left(5\\right)" }, { "type": "interim", "title": "Multiply and divide (left to right) $$-5\\cdot\\:2\\::{\\quad}-10$$", "input": "-5\\cdot\\:2", "steps": [ { "type": "step", "primary": "$$-5\\cdot\\:2=-10$$", "result": "=-10" } ], "meta": { "interimType": "Pemdas MultDiv Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7VfkLE+se//g2U1//GdCG3wvdnac5V5msbxKqK0ECZ3soaH1bKOSCvM7qpvh3euIpuHzwX7I9jhFpvjvhK4nxxIFsLZuppylm+ahKE+zV04vsh+TzRi1qNwJyUM+JRqvyTjT1mgzCZ20OGWwlIQovSoEFMST8lDZxn1Yq5HMKVTt6Q7PBVdHDlyqdUYX/YxvRqaysHt/DrdE2ABS0rUFgOKjCr4I3SFKyccqH5QhzoRR7XzHayIHnL80Ec3EBG/9Q" } }, { "type": "step", "result": "=-10-3\\left(5\\right)" }, { "type": "interim", "title": "Multiply and divide (left to right) $$3\\left(5\\right)\\::{\\quad}15$$", "input": "3\\left(5\\right)", "steps": [ { "type": "step", "primary": "Apply rule: $$\\left(a\\right)=a$$", "secondary": [ "$$\\left(5\\right)=5$$" ], "result": "=3\\cdot\\:5" }, { "type": "step", "primary": "Multiply the numbers: $$3\\cdot\\:5=15$$", "result": "=15" } ], "meta": { "interimType": "Pemdas MultDiv Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7EjcTaJ0FvZy45Lzuqz8S1N5xYNCKft0LLTX7mAuWUpoBwGEePOdXBS9mzNvj2AmtXhbADX2gvyKfNKNkOFNCS0QevBHt9svI33xtwXT/gNS0LroF1kK0+poc85sIndWURSpN33oxZMojoqvYhvSJAGay9bMYgEkREJp+4r9c335InZacQCwM8jm5VEt6Oq2vXMddJj4Q41clOiK8TpSsI7CI2sSeA74029n2yo277ZU=" } }, { "type": "step", "result": "=-10-15" }, { "type": "interim", "title": "Add and subtract (left to right) $$-10-15\\::{\\quad}-25$$", "input": "-10-15", "steps": [ { "type": "step", "primary": "$$-10-15=-25$$", "result": "=-25" } ], "meta": { "interimType": "Pemdas AddSub Step Title 1Eq" } }, { "type": "step", "result": "=-25" } ], "meta": { "solvingClass": "Pemdas", "practiceLink": "/practice/order-of-operations-whole-practice", "practiceTopic": "Order of Operations" } }, "meta": { "showVerify": true } }