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

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


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

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

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

Combine like terms: 4 + 4 = 8
8 + 2x + -5x = 2(3 + -1x) + -5

Combine like terms: 2x + -5x = -3x
8 + -3x = 2(3 + -1x) + -5
8 + -3x = (3 * 2 + -1x * 2) + -5
8 + -3x = (6 + -2x) + -5

Reorder the terms:
8 + -3x = 6 + -5 + -2x

Combine like terms: 6 + -5 = 1
8 + -3x = 1 + -2x

Solving
8 + -3x = 1 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
8 + -3x + 2x = 1 + -2x + 2x

Combine like terms: -3x + 2x = -1x
8 + -1x = 1 + -2x + 2x

Combine like terms: -2x + 2x = 0
8 + -1x = 1 + 0
8 + -1x = 1

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

Combine like terms: 8 + -8 = 0
0 + -1x = 1 + -8
-1x = 1 + -8

Combine like terms: 1 + -8 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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