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

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


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

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

Reorder the terms:
8 + 2x = -5(-2 + x)
8 + 2x = (-2 * -5 + x * -5)
8 + 2x = (10 + -5x)

Solving
8 + 2x = 10 + -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.
8 + 2x + 5x = 10 + -5x + 5x

Combine like terms: 2x + 5x = 7x
8 + 7x = 10 + -5x + 5x

Combine like terms: -5x + 5x = 0
8 + 7x = 10 + 0
8 + 7x = 10

Add '-8' to each side of the equation.
8 + -8 + 7x = 10 + -8

Combine like terms: 8 + -8 = 0
0 + 7x = 10 + -8
7x = 10 + -8

Combine like terms: 10 + -8 = 2
7x = 2

Divide each side by '7'.
x = 0.2857142857

Simplifying
x = 0.2857142857

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