5(2x+6)=38-2(5x-6)

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Solution for 5(2x+6)=38-2(5x-6) equation:


Simplifying
5(2x + 6) = 38 + -2(5x + -6)

Reorder the terms:
5(6 + 2x) = 38 + -2(5x + -6)
(6 * 5 + 2x * 5) = 38 + -2(5x + -6)
(30 + 10x) = 38 + -2(5x + -6)

Reorder the terms:
30 + 10x = 38 + -2(-6 + 5x)
30 + 10x = 38 + (-6 * -2 + 5x * -2)
30 + 10x = 38 + (12 + -10x)

Combine like terms: 38 + 12 = 50
30 + 10x = 50 + -10x

Solving
30 + 10x = 50 + -10x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '10x' to each side of the equation.
30 + 10x + 10x = 50 + -10x + 10x

Combine like terms: 10x + 10x = 20x
30 + 20x = 50 + -10x + 10x

Combine like terms: -10x + 10x = 0
30 + 20x = 50 + 0
30 + 20x = 50

Add '-30' to each side of the equation.
30 + -30 + 20x = 50 + -30

Combine like terms: 30 + -30 = 0
0 + 20x = 50 + -30
20x = 50 + -30

Combine like terms: 50 + -30 = 20
20x = 20

Divide each side by '20'.
x = 1

Simplifying
x = 1

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