5(4x-2)=8+2(x-6)+12

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Solution for 5(4x-2)=8+2(x-6)+12 equation: 


Simplifying
5(4x + -2) = 8 + 2(x + -6) + 12

Reorder the terms:
5(-2 + 4x) = 8 + 2(x + -6) + 12
(-2 * 5 + 4x * 5) = 8 + 2(x + -6) + 12
(-10 + 20x) = 8 + 2(x + -6) + 12

Reorder the terms:
-10 + 20x = 8 + 2(-6 + x) + 12
-10 + 20x = 8 + (-6 * 2 + x * 2) + 12
-10 + 20x = 8 + (-12 + 2x) + 12

Reorder the terms:
-10 + 20x = 8 + -12 + 12 + 2x

Combine like terms: 8 + -12 = -4
-10 + 20x = -4 + 12 + 2x

Combine like terms: -4 + 12 = 8
-10 + 20x = 8 + 2x

Solving
-10 + 20x = 8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-10 + 20x + -2x = 8 + 2x + -2x

Combine like terms: 20x + -2x = 18x
-10 + 18x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-10 + 18x = 8 + 0
-10 + 18x = 8

Add '10' to each side of the equation.
-10 + 10 + 18x = 8 + 10

Combine like terms: -10 + 10 = 0
0 + 18x = 8 + 10
18x = 8 + 10

Combine like terms: 8 + 10 = 18
18x = 18

Divide each side by '18'.
x = 1

Simplifying
x = 1

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