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

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


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

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

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

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

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

Solving
5 + 2x = 40 + -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.
5 + 2x + 5x = 40 + -5x + 5x

Combine like terms: 2x + 5x = 7x
5 + 7x = 40 + -5x + 5x

Combine like terms: -5x + 5x = 0
5 + 7x = 40 + 0
5 + 7x = 40

Add '-5' to each side of the equation.
5 + -5 + 7x = 40 + -5

Combine like terms: 5 + -5 = 0
0 + 7x = 40 + -5
7x = 40 + -5

Combine like terms: 40 + -5 = 35
7x = 35

Divide each side by '7'.
x = 5

Simplifying
x = 5

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