(5+5x)-(20+5x)=2(4+x)

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Solution for (5+5x)-(20+5x)=2(4+x) equation:


Simplifying
(5 + 5x) + -1(20 + 5x) = 2(4 + x)

Remove parenthesis around (5 + 5x)
5 + 5x + -1(20 + 5x) = 2(4 + x)
5 + 5x + (20 * -1 + 5x * -1) = 2(4 + x)
5 + 5x + (-20 + -5x) = 2(4 + x)

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

Combine like terms: 5 + -20 = -15
-15 + 5x + -5x = 2(4 + x)

Combine like terms: 5x + -5x = 0
-15 + 0 = 2(4 + x)
-15 = 2(4 + x)
-15 = (4 * 2 + x * 2)
-15 = (8 + 2x)

Solving
-15 = 8 + 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.
-15 + -2x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-15 + -2x = 8 + 0
-15 + -2x = 8

Add '15' to each side of the equation.
-15 + 15 + -2x = 8 + 15

Combine like terms: -15 + 15 = 0
0 + -2x = 8 + 15
-2x = 8 + 15

Combine like terms: 8 + 15 = 23
-2x = 23

Divide each side by '-2'.
x = -11.5

Simplifying
x = -11.5

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