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

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


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

Reorder the terms:
-7x + -6(8 + x) = -2(6x + 4)
-7x + (8 * -6 + x * -6) = -2(6x + 4)
-7x + (-48 + -6x) = -2(6x + 4)

Reorder the terms:
-48 + -7x + -6x = -2(6x + 4)

Combine like terms: -7x + -6x = -13x
-48 + -13x = -2(6x + 4)

Reorder the terms:
-48 + -13x = -2(4 + 6x)
-48 + -13x = (4 * -2 + 6x * -2)
-48 + -13x = (-8 + -12x)

Solving
-48 + -13x = -8 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-48 + -13x + 12x = -8 + -12x + 12x

Combine like terms: -13x + 12x = -1x
-48 + -1x = -8 + -12x + 12x

Combine like terms: -12x + 12x = 0
-48 + -1x = -8 + 0
-48 + -1x = -8

Add '48' to each side of the equation.
-48 + 48 + -1x = -8 + 48

Combine like terms: -48 + 48 = 0
0 + -1x = -8 + 48
-1x = -8 + 48

Combine like terms: -8 + 48 = 40
-1x = 40

Divide each side by '-1'.
x = -40

Simplifying
x = -40

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