7x-(6x+8)=2x-16

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Solution for 7x-(6x+8)=2x-16 equation:


Simplifying
7x + -1(6x + 8) = 2x + -16

Reorder the terms:
7x + -1(8 + 6x) = 2x + -16
7x + (8 * -1 + 6x * -1) = 2x + -16
7x + (-8 + -6x) = 2x + -16

Reorder the terms:
-8 + 7x + -6x = 2x + -16

Combine like terms: 7x + -6x = 1x
-8 + 1x = 2x + -16

Reorder the terms:
-8 + 1x = -16 + 2x

Solving
-8 + 1x = -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.
-8 + 1x + -2x = -16 + 2x + -2x

Combine like terms: 1x + -2x = -1x
-8 + -1x = -16 + 2x + -2x

Combine like terms: 2x + -2x = 0
-8 + -1x = -16 + 0
-8 + -1x = -16

Add '8' to each side of the equation.
-8 + 8 + -1x = -16 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = -16 + 8
-1x = -16 + 8

Combine like terms: -16 + 8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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