5x-7=5-x

{ "query": { "display": "$$5x-7=5-x$$", "symbolab_question": "EQUATION#5x-7=5-x" }, "solution": { "level": "PERFORMED", "subject": "Algebra", "topic": "Equations", "subTopic": "Linear", "default": "x=2", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$5x-7=5-x{\\quad:\\quad}x=2$$", "input": "5x-7=5-x", "steps": [ { "type": "interim", "title": "Move $$7\\:$$to the right side", "input": "5x-7=5-x", "result": "5x=-x+12", "steps": [ { "type": "step", "primary": "Add $$7$$ to both sides", "result": "5x-7+7=5-x+7" }, { "type": "step", "primary": "Simplify", "result": "5x=-x+12" } ], "meta": { "interimType": "Move to the Right Title 1Eq", "gptData": "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" } }, { "type": "interim", "title": "Move $$x\\:$$to the left side", "input": "5x=-x+12", "result": "6x=12", "steps": [ { "type": "step", "primary": "Add $$x$$ to both sides", "result": "5x+x=-x+12+x" }, { "type": "step", "primary": "Simplify", "result": "6x=12" } ], "meta": { "interimType": "Move to the Left Title 1Eq", "gptData": "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" } }, { "type": "interim", "title": "Divide both sides by $$6$$", "input": "6x=12", "result": "x=2", "steps": [ { "type": "step", "primary": "Divide both sides by $$6$$", "result": "\\frac{6x}{6}=\\frac{12}{6}" }, { "type": "step", "primary": "Simplify", "result": "x=2" } ], "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": "5x-7=5-x" }, "showViewLarger": true } }, "meta": { "showVerify": true } }