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

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


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

Reorder the terms:
5(-4 + x) + x = -6(x + -2) + -8
(-4 * 5 + x * 5) + x = -6(x + -2) + -8
(-20 + 5x) + x = -6(x + -2) + -8

Combine like terms: 5x + x = 6x
-20 + 6x = -6(x + -2) + -8

Reorder the terms:
-20 + 6x = -6(-2 + x) + -8
-20 + 6x = (-2 * -6 + x * -6) + -8
-20 + 6x = (12 + -6x) + -8

Reorder the terms:
-20 + 6x = 12 + -8 + -6x

Combine like terms: 12 + -8 = 4
-20 + 6x = 4 + -6x

Solving
-20 + 6x = 4 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-20 + 6x + 6x = 4 + -6x + 6x

Combine like terms: 6x + 6x = 12x
-20 + 12x = 4 + -6x + 6x

Combine like terms: -6x + 6x = 0
-20 + 12x = 4 + 0
-20 + 12x = 4

Add '20' to each side of the equation.
-20 + 20 + 12x = 4 + 20

Combine like terms: -20 + 20 = 0
0 + 12x = 4 + 20
12x = 4 + 20

Combine like terms: 4 + 20 = 24
12x = 24

Divide each side by '12'.
x = 2

Simplifying
x = 2

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