-4(2-3x)=-7(3-x)-2

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


Simplifying
-4(2 + -3x) = -7(3 + -1x) + -2
(2 * -4 + -3x * -4) = -7(3 + -1x) + -2
(-8 + 12x) = -7(3 + -1x) + -2
-8 + 12x = (3 * -7 + -1x * -7) + -2
-8 + 12x = (-21 + 7x) + -2

Reorder the terms:
-8 + 12x = -21 + -2 + 7x

Combine like terms: -21 + -2 = -23
-8 + 12x = -23 + 7x

Solving
-8 + 12x = -23 + 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.
-8 + 12x + -7x = -23 + 7x + -7x

Combine like terms: 12x + -7x = 5x
-8 + 5x = -23 + 7x + -7x

Combine like terms: 7x + -7x = 0
-8 + 5x = -23 + 0
-8 + 5x = -23

Add '8' to each side of the equation.
-8 + 8 + 5x = -23 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = -23 + 8
5x = -23 + 8

Combine like terms: -23 + 8 = -15
5x = -15

Divide each side by '5'.
x = -3

Simplifying
x = -3

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