14+5x=2x-7(x+8)

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Solution for 14+5x=2x-7(x+8) equation:


Simplifying
14 + 5x = 2x + -7(x + 8)

Reorder the terms:
14 + 5x = 2x + -7(8 + x)
14 + 5x = 2x + (8 * -7 + x * -7)
14 + 5x = 2x + (-56 + -7x)

Reorder the terms:
14 + 5x = -56 + 2x + -7x

Combine like terms: 2x + -7x = -5x
14 + 5x = -56 + -5x

Solving
14 + 5x = -56 + -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.
14 + 5x + 5x = -56 + -5x + 5x

Combine like terms: 5x + 5x = 10x
14 + 10x = -56 + -5x + 5x

Combine like terms: -5x + 5x = 0
14 + 10x = -56 + 0
14 + 10x = -56

Add '-14' to each side of the equation.
14 + -14 + 10x = -56 + -14

Combine like terms: 14 + -14 = 0
0 + 10x = -56 + -14
10x = -56 + -14

Combine like terms: -56 + -14 = -70
10x = -70

Divide each side by '10'.
x = -7

Simplifying
x = -7

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