3(2x+2)-4(x-3)=2(x+9)-3(4x-2)

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Solution for 3(2x+2)-4(x-3)=2(x+9)-3(4x-2) equation:


Simplifying
3(2x + 2) + -4(x + -3) = 2(x + 9) + -3(4x + -2)

Reorder the terms:
3(2 + 2x) + -4(x + -3) = 2(x + 9) + -3(4x + -2)
(2 * 3 + 2x * 3) + -4(x + -3) = 2(x + 9) + -3(4x + -2)
(6 + 6x) + -4(x + -3) = 2(x + 9) + -3(4x + -2)

Reorder the terms:
6 + 6x + -4(-3 + x) = 2(x + 9) + -3(4x + -2)
6 + 6x + (-3 * -4 + x * -4) = 2(x + 9) + -3(4x + -2)
6 + 6x + (12 + -4x) = 2(x + 9) + -3(4x + -2)

Reorder the terms:
6 + 12 + 6x + -4x = 2(x + 9) + -3(4x + -2)

Combine like terms: 6 + 12 = 18
18 + 6x + -4x = 2(x + 9) + -3(4x + -2)

Combine like terms: 6x + -4x = 2x
18 + 2x = 2(x + 9) + -3(4x + -2)

Reorder the terms:
18 + 2x = 2(9 + x) + -3(4x + -2)
18 + 2x = (9 * 2 + x * 2) + -3(4x + -2)
18 + 2x = (18 + 2x) + -3(4x + -2)

Reorder the terms:
18 + 2x = 18 + 2x + -3(-2 + 4x)
18 + 2x = 18 + 2x + (-2 * -3 + 4x * -3)
18 + 2x = 18 + 2x + (6 + -12x)

Reorder the terms:
18 + 2x = 18 + 6 + 2x + -12x

Combine like terms: 18 + 6 = 24
18 + 2x = 24 + 2x + -12x

Combine like terms: 2x + -12x = -10x
18 + 2x = 24 + -10x

Solving
18 + 2x = 24 + -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.
18 + 2x + 10x = 24 + -10x + 10x

Combine like terms: 2x + 10x = 12x
18 + 12x = 24 + -10x + 10x

Combine like terms: -10x + 10x = 0
18 + 12x = 24 + 0
18 + 12x = 24

Add '-18' to each side of the equation.
18 + -18 + 12x = 24 + -18

Combine like terms: 18 + -18 = 0
0 + 12x = 24 + -18
12x = 24 + -18

Combine like terms: 24 + -18 = 6
12x = 6

Divide each side by '12'.
x = 0.5

Simplifying
x = 0.5

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