17+2x+7+3x-4=75

{ "query": { "display": "$$17+2x+7+3x-4=75$$", "symbolab_question": "EQUATION#17+2x+7+3x-4=75" }, "solution": { "level": "PERFORMED", "subject": "Algebra", "topic": "Equations", "subTopic": "Linear", "default": "x=11", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$17+2x+7+3x-4=75{\\quad:\\quad}x=11$$", "input": "17+2x+7+3x-4=75", "steps": [ { "type": "step", "primary": "Group like terms", "result": "2x+3x+17+7-4=75" }, { "type": "step", "primary": "Add similar elements: $$2x+3x=5x$$", "result": "5x+17+7-4=75" }, { "type": "step", "primary": "Add/Subtract the numbers: $$17+7-4=20$$", "result": "5x+20=75" }, { "type": "interim", "title": "Move $$20\\:$$to the right side", "input": "5x+20=75", "result": "5x=55", "steps": [ { "type": "step", "primary": "Subtract $$20$$ from both sides", "result": "5x+20-20=75-20" }, { "type": "step", "primary": "Simplify", "result": "5x=55" } ], "meta": { "interimType": "Move to the Right Title 1Eq", "gptData": "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" } }, { "type": "interim", "title": "Divide both sides by $$5$$", "input": "5x=55", "result": "x=11", "steps": [ { "type": "step", "primary": "Divide both sides by $$5$$", "result": "\\frac{5x}{5}=\\frac{55}{5}" }, { "type": "step", "primary": "Simplify", "result": "x=11" } ], "meta": { "interimType": "Divide Both Sides Specific 1Eq", "gptData": "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" } } ], "meta": { "solvingClass": "Equations", "practiceLink": "/practice/linear-equations-practice", "practiceTopic": "Linear Equations" } }, "plot_output": { "meta": { "plotInfo": { "variable": "x", "plotRequest": "17+2x+7+3x-4=75" }, "showViewLarger": true } }, "meta": { "showVerify": true } }