10x-7+3x=5x+7-8x

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Solution for 10x-7+3x=5x+7-8x equation:


Simplifying
10x + -7 + 3x = 5x + 7 + -8x

Reorder the terms:
-7 + 10x + 3x = 5x + 7 + -8x

Combine like terms: 10x + 3x = 13x
-7 + 13x = 5x + 7 + -8x

Reorder the terms:
-7 + 13x = 7 + 5x + -8x

Combine like terms: 5x + -8x = -3x
-7 + 13x = 7 + -3x

Solving
-7 + 13x = 7 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-7 + 13x + 3x = 7 + -3x + 3x

Combine like terms: 13x + 3x = 16x
-7 + 16x = 7 + -3x + 3x

Combine like terms: -3x + 3x = 0
-7 + 16x = 7 + 0
-7 + 16x = 7

Add '7' to each side of the equation.
-7 + 7 + 16x = 7 + 7

Combine like terms: -7 + 7 = 0
0 + 16x = 7 + 7
16x = 7 + 7

Combine like terms: 7 + 7 = 14
16x = 14

Divide each side by '16'.
x = 0.875

Simplifying
x = 0.875

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