4x-(6-8x)=2x-16

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Solution for 4x-(6-8x)=2x-16 equation:


Simplifying
4x + -1(6 + -8x) = 2x + -16
4x + (6 * -1 + -8x * -1) = 2x + -16
4x + (-6 + 8x) = 2x + -16

Reorder the terms:
-6 + 4x + 8x = 2x + -16

Combine like terms: 4x + 8x = 12x
-6 + 12x = 2x + -16

Reorder the terms:
-6 + 12x = -16 + 2x

Solving
-6 + 12x = -16 + 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 + 12x + -2x = -16 + 2x + -2x

Combine like terms: 12x + -2x = 10x
-6 + 10x = -16 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + 10x = -16 + 0
-6 + 10x = -16

Add '6' to each side of the equation.
-6 + 6 + 10x = -16 + 6

Combine like terms: -6 + 6 = 0
0 + 10x = -16 + 6
10x = -16 + 6

Combine like terms: -16 + 6 = -10
10x = -10

Divide each side by '10'.
x = -1

Simplifying
x = -1

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