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

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


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

Reorder the terms:
5(3 + x) = 2(x + 2) + -2x
(3 * 5 + x * 5) = 2(x + 2) + -2x
(15 + 5x) = 2(x + 2) + -2x

Reorder the terms:
15 + 5x = 2(2 + x) + -2x
15 + 5x = (2 * 2 + x * 2) + -2x
15 + 5x = (4 + 2x) + -2x

Combine like terms: 2x + -2x = 0
15 + 5x = 4 + 0
15 + 5x = 4

Solving
15 + 5x = 4

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + 5x = 4 + -15

Combine like terms: 15 + -15 = 0
0 + 5x = 4 + -15
5x = 4 + -15

Combine like terms: 4 + -15 = -11
5x = -11

Divide each side by '5'.
x = -2.2

Simplifying
x = -2.2

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