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

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


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

Combine like terms: -2x + -6x = -8x
-8x = -2(-5 + -1x) + 8(x + -8)
-8x = (-5 * -2 + -1x * -2) + 8(x + -8)
-8x = (10 + 2x) + 8(x + -8)

Reorder the terms:
-8x = 10 + 2x + 8(-8 + x)
-8x = 10 + 2x + (-8 * 8 + x * 8)
-8x = 10 + 2x + (-64 + 8x)

Reorder the terms:
-8x = 10 + -64 + 2x + 8x

Combine like terms: 10 + -64 = -54
-8x = -54 + 2x + 8x

Combine like terms: 2x + 8x = 10x
-8x = -54 + 10x

Solving
-8x = -54 + 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.
-8x + -10x = -54 + 10x + -10x

Combine like terms: -8x + -10x = -18x
-18x = -54 + 10x + -10x

Combine like terms: 10x + -10x = 0
-18x = -54 + 0
-18x = -54

Divide each side by '-18'.
x = 3

Simplifying
x = 3

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