3(x-4)=-5(x-4)

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Solution for 3(x-4)=-5(x-4) equation:


Simplifying
3(x + -4) = -5(x + -4)

Reorder the terms:
3(-4 + x) = -5(x + -4)
(-4 * 3 + x * 3) = -5(x + -4)
(-12 + 3x) = -5(x + -4)

Reorder the terms:
-12 + 3x = -5(-4 + x)
-12 + 3x = (-4 * -5 + x * -5)
-12 + 3x = (20 + -5x)

Solving
-12 + 3x = 20 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-12 + 3x + 5x = 20 + -5x + 5x

Combine like terms: 3x + 5x = 8x
-12 + 8x = 20 + -5x + 5x

Combine like terms: -5x + 5x = 0
-12 + 8x = 20 + 0
-12 + 8x = 20

Add '12' to each side of the equation.
-12 + 12 + 8x = 20 + 12

Combine like terms: -12 + 12 = 0
0 + 8x = 20 + 12
8x = 20 + 12

Combine like terms: 20 + 12 = 32
8x = 32

Divide each side by '8'.
x = 4

Simplifying
x = 4

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