5(x+4)-6=8-2x

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Solution for 5(x+4)-6=8-2x equation:


Simplifying
5(x + 4) + -6 = 8 + -2x

Reorder the terms:
5(4 + x) + -6 = 8 + -2x
(4 * 5 + x * 5) + -6 = 8 + -2x
(20 + 5x) + -6 = 8 + -2x

Reorder the terms:
20 + -6 + 5x = 8 + -2x

Combine like terms: 20 + -6 = 14
14 + 5x = 8 + -2x

Solving
14 + 5x = 8 + -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.
14 + 5x + 2x = 8 + -2x + 2x

Combine like terms: 5x + 2x = 7x
14 + 7x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
14 + 7x = 8 + 0
14 + 7x = 8

Add '-14' to each side of the equation.
14 + -14 + 7x = 8 + -14

Combine like terms: 14 + -14 = 0
0 + 7x = 8 + -14
7x = 8 + -14

Combine like terms: 8 + -14 = -6
7x = -6

Divide each side by '7'.
x = -0.8571428571

Simplifying
x = -0.8571428571

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