2(x+2)+7=-5(x-8)-1

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Solution for 2(x+2)+7=-5(x-8)-1 equation:


Simplifying
2(x + 2) + 7 = -5(x + -8) + -1

Reorder the terms:
2(2 + x) + 7 = -5(x + -8) + -1
(2 * 2 + x * 2) + 7 = -5(x + -8) + -1
(4 + 2x) + 7 = -5(x + -8) + -1

Reorder the terms:
4 + 7 + 2x = -5(x + -8) + -1

Combine like terms: 4 + 7 = 11
11 + 2x = -5(x + -8) + -1

Reorder the terms:
11 + 2x = -5(-8 + x) + -1
11 + 2x = (-8 * -5 + x * -5) + -1
11 + 2x = (40 + -5x) + -1

Reorder the terms:
11 + 2x = 40 + -1 + -5x

Combine like terms: 40 + -1 = 39
11 + 2x = 39 + -5x

Solving
11 + 2x = 39 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
11 + 2x + 5x = 39 + -5x + 5x

Combine like terms: 2x + 5x = 7x
11 + 7x = 39 + -5x + 5x

Combine like terms: -5x + 5x = 0
11 + 7x = 39 + 0
11 + 7x = 39

Add '-11' to each side of the equation.
11 + -11 + 7x = 39 + -11

Combine like terms: 11 + -11 = 0
0 + 7x = 39 + -11
7x = 39 + -11

Combine like terms: 39 + -11 = 28
7x = 28

Divide each side by '7'.
x = 4

Simplifying
x = 4

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