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

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


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

Reorder the terms:
-2(4 + x) + 3x = 4(3x + 2) + 13
(4 * -2 + x * -2) + 3x = 4(3x + 2) + 13
(-8 + -2x) + 3x = 4(3x + 2) + 13

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

Reorder the terms:
-8 + 1x = 4(2 + 3x) + 13
-8 + 1x = (2 * 4 + 3x * 4) + 13
-8 + 1x = (8 + 12x) + 13

Reorder the terms:
-8 + 1x = 8 + 13 + 12x

Combine like terms: 8 + 13 = 21
-8 + 1x = 21 + 12x

Solving
-8 + 1x = 21 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-8 + 1x + -12x = 21 + 12x + -12x

Combine like terms: 1x + -12x = -11x
-8 + -11x = 21 + 12x + -12x

Combine like terms: 12x + -12x = 0
-8 + -11x = 21 + 0
-8 + -11x = 21

Add '8' to each side of the equation.
-8 + 8 + -11x = 21 + 8

Combine like terms: -8 + 8 = 0
0 + -11x = 21 + 8
-11x = 21 + 8

Combine like terms: 21 + 8 = 29
-11x = 29

Divide each side by '-11'.
x = -2.636363636

Simplifying
x = -2.636363636

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