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

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


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

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

Reorder the terms:
20 + 5x = -5(-6 + x) + 2
20 + 5x = (-6 * -5 + x * -5) + 2
20 + 5x = (30 + -5x) + 2

Reorder the terms:
20 + 5x = 30 + 2 + -5x

Combine like terms: 30 + 2 = 32
20 + 5x = 32 + -5x

Solving
20 + 5x = 32 + -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.
20 + 5x + 5x = 32 + -5x + 5x

Combine like terms: 5x + 5x = 10x
20 + 10x = 32 + -5x + 5x

Combine like terms: -5x + 5x = 0
20 + 10x = 32 + 0
20 + 10x = 32

Add '-20' to each side of the equation.
20 + -20 + 10x = 32 + -20

Combine like terms: 20 + -20 = 0
0 + 10x = 32 + -20
10x = 32 + -20

Combine like terms: 32 + -20 = 12
10x = 12

Divide each side by '10'.
x = 1.2

Simplifying
x = 1.2

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