2(3x+4)-4(x-2)=2(x+8)-3(4x-2)

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Solution for 2(3x+4)-4(x-2)=2(x+8)-3(4x-2) equation: 


Simplifying
2(3x + 4) + -4(x + -2) = 2(x + 8) + -3(4x + -2)

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

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

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

Combine like terms: 8 + 8 = 16
16 + 6x + -4x = 2(x + 8) + -3(4x + -2)

Combine like terms: 6x + -4x = 2x
16 + 2x = 2(x + 8) + -3(4x + -2)

Reorder the terms:
16 + 2x = 2(8 + x) + -3(4x + -2)
16 + 2x = (8 * 2 + x * 2) + -3(4x + -2)
16 + 2x = (16 + 2x) + -3(4x + -2)

Reorder the terms:
16 + 2x = 16 + 2x + -3(-2 + 4x)
16 + 2x = 16 + 2x + (-2 * -3 + 4x * -3)
16 + 2x = 16 + 2x + (6 + -12x)

Reorder the terms:
16 + 2x = 16 + 6 + 2x + -12x

Combine like terms: 16 + 6 = 22
16 + 2x = 22 + 2x + -12x

Combine like terms: 2x + -12x = -10x
16 + 2x = 22 + -10x

Solving
16 + 2x = 22 + -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.
16 + 2x + 10x = 22 + -10x + 10x

Combine like terms: 2x + 10x = 12x
16 + 12x = 22 + -10x + 10x

Combine like terms: -10x + 10x = 0
16 + 12x = 22 + 0
16 + 12x = 22

Add '-16' to each side of the equation.
16 + -16 + 12x = 22 + -16

Combine like terms: 16 + -16 = 0
0 + 12x = 22 + -16
12x = 22 + -16

Combine like terms: 22 + -16 = 6
12x = 6

Divide each side by '12'.
x = 0.5

Simplifying
x = 0.5

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