8x+7=10x-5

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Solution for 8x+7=10x-5 equation:


Simplifying
8x + 7 = 10x + -5

Reorder the terms:
7 + 8x = 10x + -5

Reorder the terms:
7 + 8x = -5 + 10x

Solving
7 + 8x = -5 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
7 + 8x + -10x = -5 + 10x + -10x

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

Combine like terms: 10x + -10x = 0
7 + -2x = -5 + 0
7 + -2x = -5

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

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

Combine like terms: -5 + -7 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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