-4(x-8)-(2x-6)=-7x

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Solution for -4(x-8)-(2x-6)=-7x equation: 


Simplifying
-4(x + -8) + -1(2x + -6) = -7x

Reorder the terms:
-4(-8 + x) + -1(2x + -6) = -7x
(-8 * -4 + x * -4) + -1(2x + -6) = -7x
(32 + -4x) + -1(2x + -6) = -7x

Reorder the terms:
32 + -4x + -1(-6 + 2x) = -7x
32 + -4x + (-6 * -1 + 2x * -1) = -7x
32 + -4x + (6 + -2x) = -7x

Reorder the terms:
32 + 6 + -4x + -2x = -7x

Combine like terms: 32 + 6 = 38
38 + -4x + -2x = -7x

Combine like terms: -4x + -2x = -6x
38 + -6x = -7x

Solving
38 + -6x = -7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '7x' to each side of the equation.
38 + -6x + 7x = -7x + 7x

Combine like terms: -6x + 7x = 1x
38 + 1x = -7x + 7x

Combine like terms: -7x + 7x = 0
38 + 1x = 0

Add '-38' to each side of the equation.
38 + -38 + 1x = 0 + -38

Combine like terms: 38 + -38 = 0
0 + 1x = 0 + -38
1x = 0 + -38

Combine like terms: 0 + -38 = -38
1x = -38

Divide each side by '1'.
x = -38

Simplifying
x = -38

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