(3x+5)+(5x-20)=(5x+4y)

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Solution for (3x+5)+(5x-20)=(5x+4y) equation:


Simplifying
(3x + 5) + (5x + -20) = (5x + 4y)

Reorder the terms:
(5 + 3x) + (5x + -20) = (5x + 4y)

Remove parenthesis around (5 + 3x)
5 + 3x + (5x + -20) = (5x + 4y)

Reorder the terms:
5 + 3x + (-20 + 5x) = (5x + 4y)

Remove parenthesis around (-20 + 5x)
5 + 3x + -20 + 5x = (5x + 4y)

Reorder the terms:
5 + -20 + 3x + 5x = (5x + 4y)

Combine like terms: 5 + -20 = -15
-15 + 3x + 5x = (5x + 4y)

Combine like terms: 3x + 5x = 8x
-15 + 8x = (5x + 4y)

Remove parenthesis around (5x + 4y)
-15 + 8x = 5x + 4y

Solving
-15 + 8x = 5x + 4y

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.
-15 + 8x + -5x = 5x + -5x + 4y

Combine like terms: 8x + -5x = 3x
-15 + 3x = 5x + -5x + 4y

Combine like terms: 5x + -5x = 0
-15 + 3x = 0 + 4y
-15 + 3x = 4y

Add '15' to each side of the equation.
-15 + 15 + 3x = 15 + 4y

Combine like terms: -15 + 15 = 0
0 + 3x = 15 + 4y
3x = 15 + 4y

Divide each side by '3'.
x = 5 + 1.333333333y

Simplifying
x = 5 + 1.333333333y

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