8-(4x+x)=5(x+6)-2

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Solution for 8-(4x+x)=5(x+6)-2 equation:


Simplifying
8 + -1(4x + x) = 5(x + 6) + -2

Combine like terms: 4x + x = 5x
8 + -1(5x) = 5(x + 6) + -2

Remove parenthesis around (5x)
8 + -1 * 5x = 5(x + 6) + -2

Multiply -1 * 5
8 + -5x = 5(x + 6) + -2

Reorder the terms:
8 + -5x = 5(6 + x) + -2
8 + -5x = (6 * 5 + x * 5) + -2
8 + -5x = (30 + 5x) + -2

Reorder the terms:
8 + -5x = 30 + -2 + 5x

Combine like terms: 30 + -2 = 28
8 + -5x = 28 + 5x

Solving
8 + -5x = 28 + 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 + -5x + -5x = 28 + 5x + -5x

Combine like terms: -5x + -5x = -10x
8 + -10x = 28 + 5x + -5x

Combine like terms: 5x + -5x = 0
8 + -10x = 28 + 0
8 + -10x = 28

Add '-8' to each side of the equation.
8 + -8 + -10x = 28 + -8

Combine like terms: 8 + -8 = 0
0 + -10x = 28 + -8
-10x = 28 + -8

Combine like terms: 28 + -8 = 20
-10x = 20

Divide each side by '-10'.
x = -2

Simplifying
x = -2

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