2x-10=5x+7

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Solution for 2x-10=5x+7 equation:


Simplifying
2x + -10 = 5x + 7

Reorder the terms:
-10 + 2x = 5x + 7

Reorder the terms:
-10 + 2x = 7 + 5x

Solving
-10 + 2x = 7 + 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.
-10 + 2x + -5x = 7 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-10 + -3x = 7 + 5x + -5x

Combine like terms: 5x + -5x = 0
-10 + -3x = 7 + 0
-10 + -3x = 7

Add '10' to each side of the equation.
-10 + 10 + -3x = 7 + 10

Combine like terms: -10 + 10 = 0
0 + -3x = 7 + 10
-3x = 7 + 10

Combine like terms: 7 + 10 = 17
-3x = 17

Divide each side by '-3'.
x = -5.666666667

Simplifying
x = -5.666666667

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