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

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Solution for 2(x+2)=4-1(3-3x)+5 equation: 


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

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

Reorder the terms:
4 + 2x = 4 + -3 + 5 + 3x

Combine like terms: 4 + -3 = 1
4 + 2x = 1 + 5 + 3x

Combine like terms: 1 + 5 = 6
4 + 2x = 6 + 3x

Solving
4 + 2x = 6 + 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 = 6 + 3x + -3x

Combine like terms: 2x + -3x = -1x
4 + -1x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + -1x = 6 + 0
4 + -1x = 6

Add '-4' to each side of the equation.
4 + -4 + -1x = 6 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 6 + -4
-1x = 6 + -4

Combine like terms: 6 + -4 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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