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

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


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

Reorder the terms:
5(2 + x) + 2 = -2(x + -3) + -1
(2 * 5 + x * 5) + 2 = -2(x + -3) + -1
(10 + 5x) + 2 = -2(x + -3) + -1

Reorder the terms:
10 + 2 + 5x = -2(x + -3) + -1

Combine like terms: 10 + 2 = 12
12 + 5x = -2(x + -3) + -1

Reorder the terms:
12 + 5x = -2(-3 + x) + -1
12 + 5x = (-3 * -2 + x * -2) + -1
12 + 5x = (6 + -2x) + -1

Reorder the terms:
12 + 5x = 6 + -1 + -2x

Combine like terms: 6 + -1 = 5
12 + 5x = 5 + -2x

Solving
12 + 5x = 5 + -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.
12 + 5x + 2x = 5 + -2x + 2x

Combine like terms: 5x + 2x = 7x
12 + 7x = 5 + -2x + 2x

Combine like terms: -2x + 2x = 0
12 + 7x = 5 + 0
12 + 7x = 5

Add '-12' to each side of the equation.
12 + -12 + 7x = 5 + -12

Combine like terms: 12 + -12 = 0
0 + 7x = 5 + -12
7x = 5 + -12

Combine like terms: 5 + -12 = -7
7x = -7

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

Simplifying
x = -1

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