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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