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

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


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

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

Combine like terms: 2x + 3x = 5x
-8 + 5x = 3(x + 2) + -4

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

Reorder the terms:
-8 + 5x = 6 + -4 + 3x

Combine like terms: 6 + -4 = 2
-8 + 5x = 2 + 3x

Solving
-8 + 5x = 2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-8 + 5x + -3x = 2 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-8 + 2x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
-8 + 2x = 2 + 0
-8 + 2x = 2

Add '8' to each side of the equation.
-8 + 8 + 2x = 2 + 8

Combine like terms: -8 + 8 = 0
0 + 2x = 2 + 8
2x = 2 + 8

Combine like terms: 2 + 8 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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