2x+7=5x-2

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Solution for 2x+7=5x-2 equation:


Simplifying
2x + 7 = 5x + -2

Reorder the terms:
7 + 2x = 5x + -2

Reorder the terms:
7 + 2x = -2 + 5x

Solving
7 + 2x = -2 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
7 + 2x + -5x = -2 + 5x + -5x

Combine like terms: 2x + -5x = -3x
7 + -3x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
7 + -3x = -2 + 0
7 + -3x = -2

Add '-7' to each side of the equation.
7 + -7 + -3x = -2 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = -2 + -7
-3x = -2 + -7

Combine like terms: -2 + -7 = -9
-3x = -9

Divide each side by '-3'.
x = 3

Simplifying
x = 3

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