{ "query": { "display": "$$x+8+8x+1=90$$", "symbolab_question": "EQUATION#x+8+8x+1=90" }, "solution": { "level": "PERFORMED", "subject": "Algebra", "topic": "Equations", "subTopic": "Linear", "default": "x=9", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$x+8+8x+1=90{\\quad:\\quad}x=9$$", "input": "x+8+8x+1=90", "steps": [ { "type": "step", "primary": "Group like terms", "result": "x+8x+8+1=90" }, { "type": "step", "primary": "Add similar elements: $$x+8x=9x$$", "result": "9x+8+1=90" }, { "type": "step", "primary": "Add the numbers: $$8+1=9$$", "result": "9x+9=90" }, { "type": "interim", "title": "Move $$9\\:$$to the right side", "input": "9x+9=90", "result": "9x=81", "steps": [ { "type": "step", "primary": "Subtract $$9$$ from both sides", "result": "9x+9-9=90-9" }, { "type": "step", "primary": "Simplify", "result": "9x=81" } ], "meta": { "interimType": "Move to the Right Title 1Eq", "gptData": "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" } }, { "type": "interim", "title": "Divide both sides by $$9$$", "input": "9x=81", "result": "x=9", "steps": [ { "type": "step", "primary": "Divide both sides by $$9$$", "result": "\\frac{9x}{9}=\\frac{81}{9}" }, { "type": "step", "primary": "Simplify", "result": "x=9" } ], "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": "x+8+8x+1=90" }, "showViewLarger": true } }, "meta": { "showVerify": true } }