5(2x+4)-2(x+1)=38-2x

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Solution for 5(2x+4)-2(x+1)=38-2x equation:


Simplifying
5(2x + 4) + -2(x + 1) = 38 + -2x

Reorder the terms:
5(4 + 2x) + -2(x + 1) = 38 + -2x
(4 * 5 + 2x * 5) + -2(x + 1) = 38 + -2x
(20 + 10x) + -2(x + 1) = 38 + -2x

Reorder the terms:
20 + 10x + -2(1 + x) = 38 + -2x
20 + 10x + (1 * -2 + x * -2) = 38 + -2x
20 + 10x + (-2 + -2x) = 38 + -2x

Reorder the terms:
20 + -2 + 10x + -2x = 38 + -2x

Combine like terms: 20 + -2 = 18
18 + 10x + -2x = 38 + -2x

Combine like terms: 10x + -2x = 8x
18 + 8x = 38 + -2x

Solving
18 + 8x = 38 + -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.
18 + 8x + 2x = 38 + -2x + 2x

Combine like terms: 8x + 2x = 10x
18 + 10x = 38 + -2x + 2x

Combine like terms: -2x + 2x = 0
18 + 10x = 38 + 0
18 + 10x = 38

Add '-18' to each side of the equation.
18 + -18 + 10x = 38 + -18

Combine like terms: 18 + -18 = 0
0 + 10x = 38 + -18
10x = 38 + -18

Combine like terms: 38 + -18 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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