10x+5=2x-7

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


Simplifying
10x + 5 = 2x + -7

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

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

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

Combine like terms: 10x + -2x = 8x
5 + 8x = -7 + 2x + -2x

Combine like terms: 2x + -2x = 0
5 + 8x = -7 + 0
5 + 8x = -7

Add '-5' to each side of the equation.
5 + -5 + 8x = -7 + -5

Combine like terms: 5 + -5 = 0
0 + 8x = -7 + -5
8x = -7 + -5

Combine like terms: -7 + -5 = -12
8x = -12

Divide each side by '8'.
x = -1.5

Simplifying
x = -1.5

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