3(x+2)-2(x-5)=2(13+x)-4(2-x)

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Solution for 3(x+2)-2(x-5)=2(13+x)-4(2-x) equation: 


Simplifying
3(x + 2) + -2(x + -5) = 2(13 + x) + -4(2 + -1x)

Reorder the terms:
3(2 + x) + -2(x + -5) = 2(13 + x) + -4(2 + -1x)
(2 * 3 + x * 3) + -2(x + -5) = 2(13 + x) + -4(2 + -1x)
(6 + 3x) + -2(x + -5) = 2(13 + x) + -4(2 + -1x)

Reorder the terms:
6 + 3x + -2(-5 + x) = 2(13 + x) + -4(2 + -1x)
6 + 3x + (-5 * -2 + x * -2) = 2(13 + x) + -4(2 + -1x)
6 + 3x + (10 + -2x) = 2(13 + x) + -4(2 + -1x)

Reorder the terms:
6 + 10 + 3x + -2x = 2(13 + x) + -4(2 + -1x)

Combine like terms: 6 + 10 = 16
16 + 3x + -2x = 2(13 + x) + -4(2 + -1x)

Combine like terms: 3x + -2x = 1x
16 + 1x = 2(13 + x) + -4(2 + -1x)
16 + 1x = (13 * 2 + x * 2) + -4(2 + -1x)
16 + 1x = (26 + 2x) + -4(2 + -1x)
16 + 1x = 26 + 2x + (2 * -4 + -1x * -4)
16 + 1x = 26 + 2x + (-8 + 4x)

Reorder the terms:
16 + 1x = 26 + -8 + 2x + 4x

Combine like terms: 26 + -8 = 18
16 + 1x = 18 + 2x + 4x

Combine like terms: 2x + 4x = 6x
16 + 1x = 18 + 6x

Solving
16 + 1x = 18 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
16 + 1x + -6x = 18 + 6x + -6x

Combine like terms: 1x + -6x = -5x
16 + -5x = 18 + 6x + -6x

Combine like terms: 6x + -6x = 0
16 + -5x = 18 + 0
16 + -5x = 18

Add '-16' to each side of the equation.
16 + -16 + -5x = 18 + -16

Combine like terms: 16 + -16 = 0
0 + -5x = 18 + -16
-5x = 18 + -16

Combine like terms: 18 + -16 = 2
-5x = 2

Divide each side by '-5'.
x = -0.4

Simplifying
x = -0.4

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