Solve for x: 2x - 5 = 3x + 7.

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Multiple Choice

Solve for x: 2x - 5 = 3x + 7.

When solving a linear equation, the goal is to get the variable by itself. For 2x - 5 = 3x + 7, start by eliminating x from the left side: subtract 2x from both sides to get -5 = x + 7. Then isolate x by subtracting 7 from both sides, which gives -12 = x. So x equals -12. You can verify by plugging back: 2(-12) - 5 = -24 - 5 = -29 and 3(-12) + 7 = -36 + 7 = -29, which match. The value -12 is the solution that satisfies the equation.

When solving a linear equation, the goal is to get the variable by itself. For 2x - 5 = 3x + 7, start by eliminating x from the left side: subtract 2x from both sides to get -5 = x + 7. Then isolate x by subtracting 7 from both sides, which gives -12 = x. So x equals -12. You can verify by plugging back: 2(-12) - 5 = -24 - 5 = -29 and 3(-12) + 7 = -36 + 7 = -29, which match. The value -12 is the solution that satisfies the equation.

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