4x-5+x+7+4x+3=10x-8

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Solution for 4x-5+x+7+4x+3=10x-8 equation:


Simplifying
4x + -5 + x + 7 + 4x + 3 = 10x + -8

Reorder the terms:
-5 + 7 + 3 + 4x + x + 4x = 10x + -8

Combine like terms: -5 + 7 = 2
2 + 3 + 4x + x + 4x = 10x + -8

Combine like terms: 2 + 3 = 5
5 + 4x + x + 4x = 10x + -8

Combine like terms: 4x + x = 5x
5 + 5x + 4x = 10x + -8

Combine like terms: 5x + 4x = 9x
5 + 9x = 10x + -8

Reorder the terms:
5 + 9x = -8 + 10x

Solving
5 + 9x = -8 + 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.
5 + 9x + -10x = -8 + 10x + -10x

Combine like terms: 9x + -10x = -1x
5 + -1x = -8 + 10x + -10x

Combine like terms: 10x + -10x = 0
5 + -1x = -8 + 0
5 + -1x = -8

Add '-5' to each side of the equation.
5 + -5 + -1x = -8 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = -8 + -5
-1x = -8 + -5

Combine like terms: -8 + -5 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13

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