2(x+3)-2=44-3x

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Solution for 2(x+3)-2=44-3x equation:


Simplifying
2(x + 3) + -2 = 44 + -3x

Reorder the terms:
2(3 + x) + -2 = 44 + -3x
(3 * 2 + x * 2) + -2 = 44 + -3x
(6 + 2x) + -2 = 44 + -3x

Reorder the terms:
6 + -2 + 2x = 44 + -3x

Combine like terms: 6 + -2 = 4
4 + 2x = 44 + -3x

Solving
4 + 2x = 44 + -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.
4 + 2x + 3x = 44 + -3x + 3x

Combine like terms: 2x + 3x = 5x
4 + 5x = 44 + -3x + 3x

Combine like terms: -3x + 3x = 0
4 + 5x = 44 + 0
4 + 5x = 44

Add '-4' to each side of the equation.
4 + -4 + 5x = 44 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 44 + -4
5x = 44 + -4

Combine like terms: 44 + -4 = 40
5x = 40

Divide each side by '5'.
x = 8

Simplifying
x = 8

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