2(3x-4)=5(x-4)

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Solution for 2(3x-4)=5(x-4) equation:


Simplifying
2(3x + -4) = 5(x + -4)

Reorder the terms:
2(-4 + 3x) = 5(x + -4)
(-4 * 2 + 3x * 2) = 5(x + -4)
(-8 + 6x) = 5(x + -4)

Reorder the terms:
-8 + 6x = 5(-4 + x)
-8 + 6x = (-4 * 5 + x * 5)
-8 + 6x = (-20 + 5x)

Solving
-8 + 6x = -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.
-8 + 6x + -5x = -20 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-8 + 1x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
-8 + 1x = -20 + 0
-8 + 1x = -20

Add '8' to each side of the equation.
-8 + 8 + 1x = -20 + 8

Combine like terms: -8 + 8 = 0
0 + 1x = -20 + 8
1x = -20 + 8

Combine like terms: -20 + 8 = -12
1x = -12

Divide each side by '1'.
x = -12

Simplifying
x = -12

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