5(3x-4)=2(6-2x)

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Solution for 5(3x-4)=2(6-2x) equation:


Simplifying
5(3x + -4) = 2(6 + -2x)

Reorder the terms:
5(-4 + 3x) = 2(6 + -2x)
(-4 * 5 + 3x * 5) = 2(6 + -2x)
(-20 + 15x) = 2(6 + -2x)
-20 + 15x = (6 * 2 + -2x * 2)
-20 + 15x = (12 + -4x)

Solving
-20 + 15x = 12 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-20 + 15x + 4x = 12 + -4x + 4x

Combine like terms: 15x + 4x = 19x
-20 + 19x = 12 + -4x + 4x

Combine like terms: -4x + 4x = 0
-20 + 19x = 12 + 0
-20 + 19x = 12

Add '20' to each side of the equation.
-20 + 20 + 19x = 12 + 20

Combine like terms: -20 + 20 = 0
0 + 19x = 12 + 20
19x = 12 + 20

Combine like terms: 12 + 20 = 32
19x = 32

Divide each side by '19'.
x = 1.684210526

Simplifying
x = 1.684210526

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