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

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


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

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

Reorder the terms:
-8 + 12 + 6X = 5(2X + 4)

Combine like terms: -8 + 12 = 4
4 + 6X = 5(2X + 4)

Reorder the terms:
4 + 6X = 5(4 + 2X)
4 + 6X = (4 * 5 + 2X * 5)
4 + 6X = (20 + 10X)

Solving
4 + 6X = 20 + 10X

Solving for variable 'X'.

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

Add '-10X' to each side of the equation.
4 + 6X + -10X = 20 + 10X + -10X

Combine like terms: 6X + -10X = -4X
4 + -4X = 20 + 10X + -10X

Combine like terms: 10X + -10X = 0
4 + -4X = 20 + 0
4 + -4X = 20

Add '-4' to each side of the equation.
4 + -4 + -4X = 20 + -4

Combine like terms: 4 + -4 = 0
0 + -4X = 20 + -4
-4X = 20 + -4

Combine like terms: 20 + -4 = 16
-4X = 16

Divide each side by '-4'.
X = -4

Simplifying
X = -4

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