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

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


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

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

Reorder the terms:
6 + 4 + 8x + 10x = 2(x + -4)

Combine like terms: 6 + 4 = 10
10 + 8x + 10x = 2(x + -4)

Combine like terms: 8x + 10x = 18x
10 + 18x = 2(x + -4)

Reorder the terms:
10 + 18x = 2(-4 + x)
10 + 18x = (-4 * 2 + x * 2)
10 + 18x = (-8 + 2x)

Solving
10 + 18x = -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 + 18x + -2x = -8 + 2x + -2x

Combine like terms: 18x + -2x = 16x
10 + 16x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + 16x = -8 + 0
10 + 16x = -8

Add '-10' to each side of the equation.
10 + -10 + 16x = -8 + -10

Combine like terms: 10 + -10 = 0
0 + 16x = -8 + -10
16x = -8 + -10

Combine like terms: -8 + -10 = -18
16x = -18

Divide each side by '16'.
x = -1.125

Simplifying
x = -1.125

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