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

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


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

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

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

Solving
6 + 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.
6 + 5x + 2x = 8 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
6 + 7x = 8 + 0
6 + 7x = 8

Add '-6' to each side of the equation.
6 + -6 + 7x = 8 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = 8 + -6
7x = 8 + -6

Combine like terms: 8 + -6 = 2
7x = 2

Divide each side by '7'.
x = 0.2857142857

Simplifying
x = 0.2857142857

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