2(x+1)+4=3(x-2)+2x

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Solution for 2(x+1)+4=3(x-2)+2x equation:


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

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

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

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

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

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

Solving
6 + 2x = -6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + 2x + -5x = -6 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
6 + -3x = -6 + 0
6 + -3x = -6

Add '-6' to each side of the equation.
6 + -6 + -3x = -6 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = -6 + -6
-3x = -6 + -6

Combine like terms: -6 + -6 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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