-4(x-3)=8(-2+3x)

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Solution for -4(x-3)=8(-2+3x) equation:


Simplifying
-4(x + -3) = 8(-2 + 3x)

Reorder the terms:
-4(-3 + x) = 8(-2 + 3x)
(-3 * -4 + x * -4) = 8(-2 + 3x)
(12 + -4x) = 8(-2 + 3x)
12 + -4x = (-2 * 8 + 3x * 8)
12 + -4x = (-16 + 24x)

Solving
12 + -4x = -16 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
12 + -4x + -24x = -16 + 24x + -24x

Combine like terms: -4x + -24x = -28x
12 + -28x = -16 + 24x + -24x

Combine like terms: 24x + -24x = 0
12 + -28x = -16 + 0
12 + -28x = -16

Add '-12' to each side of the equation.
12 + -12 + -28x = -16 + -12

Combine like terms: 12 + -12 = 0
0 + -28x = -16 + -12
-28x = -16 + -12

Combine like terms: -16 + -12 = -28
-28x = -28

Divide each side by '-28'.
x = 1

Simplifying
x = 1

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