10x+8=4x-2+x

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Solution for 10x+8=4x-2+x equation:


Simplifying
10x + 8 = 4x + -2 + x

Reorder the terms:
8 + 10x = 4x + -2 + x

Reorder the terms:
8 + 10x = -2 + 4x + x

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

Solving
8 + 10x = -2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
8 + 10x + -5x = -2 + 5x + -5x

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

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

Add '-8' to each side of the equation.
8 + -8 + 5x = -2 + -8

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

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

Divide each side by '5'.
x = -2

Simplifying
x = -2

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