10x-2=2x-7

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


Simplifying
10x + -2 = 2x + -7

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

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

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

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-2 + 10x + -2x = -7 + 2x + -2x

Combine like terms: 10x + -2x = 8x
-2 + 8x = -7 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2 + 8x = -7 + 0
-2 + 8x = -7

Add '2' to each side of the equation.
-2 + 2 + 8x = -7 + 2

Combine like terms: -2 + 2 = 0
0 + 8x = -7 + 2
8x = -7 + 2

Combine like terms: -7 + 2 = -5
8x = -5

Divide each side by '8'.
x = -0.625

Simplifying
x = -0.625

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