15-6(2x-4)=8+2(5x+1)

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Solution for 15-6(2x-4)=8+2(5x+1) equation:


Simplifying
15 + -6(2x + -4) = 8 + 2(5x + 1)

Reorder the terms:
15 + -6(-4 + 2x) = 8 + 2(5x + 1)
15 + (-4 * -6 + 2x * -6) = 8 + 2(5x + 1)
15 + (24 + -12x) = 8 + 2(5x + 1)

Combine like terms: 15 + 24 = 39
39 + -12x = 8 + 2(5x + 1)

Reorder the terms:
39 + -12x = 8 + 2(1 + 5x)
39 + -12x = 8 + (1 * 2 + 5x * 2)
39 + -12x = 8 + (2 + 10x)

Combine like terms: 8 + 2 = 10
39 + -12x = 10 + 10x

Solving
39 + -12x = 10 + 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.
39 + -12x + -10x = 10 + 10x + -10x

Combine like terms: -12x + -10x = -22x
39 + -22x = 10 + 10x + -10x

Combine like terms: 10x + -10x = 0
39 + -22x = 10 + 0
39 + -22x = 10

Add '-39' to each side of the equation.
39 + -39 + -22x = 10 + -39

Combine like terms: 39 + -39 = 0
0 + -22x = 10 + -39
-22x = 10 + -39

Combine like terms: 10 + -39 = -29
-22x = -29

Divide each side by '-22'.
x = 1.318181818

Simplifying
x = 1.318181818

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