2(x+3)-7x=18-5(x+8)

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Solution for 2(x+3)-7x=18-5(x+8) equation: 


Simplifying
2(x + 3) + -7x = 18 + -5(x + 8)

Reorder the terms:
2(3 + x) + -7x = 18 + -5(x + 8)
(3 * 2 + x * 2) + -7x = 18 + -5(x + 8)
(6 + 2x) + -7x = 18 + -5(x + 8)

Combine like terms: 2x + -7x = -5x
6 + -5x = 18 + -5(x + 8)

Reorder the terms:
6 + -5x = 18 + -5(8 + x)
6 + -5x = 18 + (8 * -5 + x * -5)
6 + -5x = 18 + (-40 + -5x)

Combine like terms: 18 + -40 = -22
6 + -5x = -22 + -5x

Add '5x' to each side of the equation.
6 + -5x + 5x = -22 + -5x + 5x

Combine like terms: -5x + 5x = 0
6 + 0 = -22 + -5x + 5x
6 = -22 + -5x + 5x

Combine like terms: -5x + 5x = 0
6 = -22 + 0
6 = -22

Solving
6 = -22

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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