2(3x+4)=4(5x-12)

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Solution for 2(3x+4)=4(5x-12) equation:


Simplifying
2(3x + 4) = 4(5x + -12)

Reorder the terms:
2(4 + 3x) = 4(5x + -12)
(4 * 2 + 3x * 2) = 4(5x + -12)
(8 + 6x) = 4(5x + -12)

Reorder the terms:
8 + 6x = 4(-12 + 5x)
8 + 6x = (-12 * 4 + 5x * 4)
8 + 6x = (-48 + 20x)

Solving
8 + 6x = -48 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
8 + 6x + -20x = -48 + 20x + -20x

Combine like terms: 6x + -20x = -14x
8 + -14x = -48 + 20x + -20x

Combine like terms: 20x + -20x = 0
8 + -14x = -48 + 0
8 + -14x = -48

Add '-8' to each side of the equation.
8 + -8 + -14x = -48 + -8

Combine like terms: 8 + -8 = 0
0 + -14x = -48 + -8
-14x = -48 + -8

Combine like terms: -48 + -8 = -56
-14x = -56

Divide each side by '-14'.
x = 4

Simplifying
x = 4

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