5(2+x)-3(x+2)=-5(x-6)+2

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Solution for 5(2+x)-3(x+2)=-5(x-6)+2 equation:


Simplifying
5(2 + x) + -3(x + 2) = -5(x + -6) + 2
(2 * 5 + x * 5) + -3(x + 2) = -5(x + -6) + 2
(10 + 5x) + -3(x + 2) = -5(x + -6) + 2

Reorder the terms:
10 + 5x + -3(2 + x) = -5(x + -6) + 2
10 + 5x + (2 * -3 + x * -3) = -5(x + -6) + 2
10 + 5x + (-6 + -3x) = -5(x + -6) + 2

Reorder the terms:
10 + -6 + 5x + -3x = -5(x + -6) + 2

Combine like terms: 10 + -6 = 4
4 + 5x + -3x = -5(x + -6) + 2

Combine like terms: 5x + -3x = 2x
4 + 2x = -5(x + -6) + 2

Reorder the terms:
4 + 2x = -5(-6 + x) + 2
4 + 2x = (-6 * -5 + x * -5) + 2
4 + 2x = (30 + -5x) + 2

Reorder the terms:
4 + 2x = 30 + 2 + -5x

Combine like terms: 30 + 2 = 32
4 + 2x = 32 + -5x

Solving
4 + 2x = 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.
4 + 2x + 5x = 32 + -5x + 5x

Combine like terms: 2x + 5x = 7x
4 + 7x = 32 + -5x + 5x

Combine like terms: -5x + 5x = 0
4 + 7x = 32 + 0
4 + 7x = 32

Add '-4' to each side of the equation.
4 + -4 + 7x = 32 + -4

Combine like terms: 4 + -4 = 0
0 + 7x = 32 + -4
7x = 32 + -4

Combine like terms: 32 + -4 = 28
7x = 28

Divide each side by '7'.
x = 4

Simplifying
x = 4

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