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

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


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

Reorder the terms:
-4(-6 + 3x) = -7(x + -2)
(-6 * -4 + 3x * -4) = -7(x + -2)
(24 + -12x) = -7(x + -2)

Reorder the terms:
24 + -12x = -7(-2 + x)
24 + -12x = (-2 * -7 + x * -7)
24 + -12x = (14 + -7x)

Solving
24 + -12x = 14 + -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 = 14 + -7x + 7x

Combine like terms: -12x + 7x = -5x
24 + -5x = 14 + -7x + 7x

Combine like terms: -7x + 7x = 0
24 + -5x = 14 + 0
24 + -5x = 14

Add '-24' to each side of the equation.
24 + -24 + -5x = 14 + -24

Combine like terms: 24 + -24 = 0
0 + -5x = 14 + -24
-5x = 14 + -24

Combine like terms: 14 + -24 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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