6(-4+-2x)=-7(1x+-3)

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Solution for 6(-4+-2x)=-7(1x+-3) equation: 


Simplifying
6(-4 + -2x) = -7(1x + -3)
(-4 * 6 + -2x * 6) = -7(1x + -3)
(-24 + -12x) = -7(1x + -3)

Reorder the terms:
-24 + -12x = -7(-3 + 1x)
-24 + -12x = (-3 * -7 + 1x * -7)
-24 + -12x = (21 + -7x)

Solving
-24 + -12x = 21 + -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.
-24 + -12x + 7x = 21 + -7x + 7x

Combine like terms: -12x + 7x = -5x
-24 + -5x = 21 + -7x + 7x

Combine like terms: -7x + 7x = 0
-24 + -5x = 21 + 0
-24 + -5x = 21

Add '24' to each side of the equation.
-24 + 24 + -5x = 21 + 24

Combine like terms: -24 + 24 = 0
0 + -5x = 21 + 24
-5x = 21 + 24

Combine like terms: 21 + 24 = 45
-5x = 45

Divide each side by '-5'.
x = -9

Simplifying
x = -9

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