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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