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

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


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

Reorder the terms:
6x + -8 + 2(1 + 5x) = -2(x + 2)
6x + -8 + (1 * 2 + 5x * 2) = -2(x + 2)
6x + -8 + (2 + 10x) = -2(x + 2)

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

Combine like terms: -8 + 2 = -6
-6 + 6x + 10x = -2(x + 2)

Combine like terms: 6x + 10x = 16x
-6 + 16x = -2(x + 2)

Reorder the terms:
-6 + 16x = -2(2 + x)
-6 + 16x = (2 * -2 + x * -2)
-6 + 16x = (-4 + -2x)

Solving
-6 + 16x = -4 + -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.
-6 + 16x + 2x = -4 + -2x + 2x

Combine like terms: 16x + 2x = 18x
-6 + 18x = -4 + -2x + 2x

Combine like terms: -2x + 2x = 0
-6 + 18x = -4 + 0
-6 + 18x = -4

Add '6' to each side of the equation.
-6 + 6 + 18x = -4 + 6

Combine like terms: -6 + 6 = 0
0 + 18x = -4 + 6
18x = -4 + 6

Combine like terms: -4 + 6 = 2
18x = 2

Divide each side by '18'.
x = 0.1111111111

Simplifying
x = 0.1111111111

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