(x+15)+(3x+5)=5x-7

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Solution for (x+15)+(3x+5)=5x-7 equation:


Simplifying
(x + 15) + (3x + 5) = 5x + -7

Reorder the terms:
(15 + x) + (3x + 5) = 5x + -7

Remove parenthesis around (15 + x)
15 + x + (3x + 5) = 5x + -7

Reorder the terms:
15 + x + (5 + 3x) = 5x + -7

Remove parenthesis around (5 + 3x)
15 + x + 5 + 3x = 5x + -7

Reorder the terms:
15 + 5 + x + 3x = 5x + -7

Combine like terms: 15 + 5 = 20
20 + x + 3x = 5x + -7

Combine like terms: x + 3x = 4x
20 + 4x = 5x + -7

Reorder the terms:
20 + 4x = -7 + 5x

Solving
20 + 4x = -7 + 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.
20 + 4x + -5x = -7 + 5x + -5x

Combine like terms: 4x + -5x = -1x
20 + -1x = -7 + 5x + -5x

Combine like terms: 5x + -5x = 0
20 + -1x = -7 + 0
20 + -1x = -7

Add '-20' to each side of the equation.
20 + -20 + -1x = -7 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = -7 + -20
-1x = -7 + -20

Combine like terms: -7 + -20 = -27
-1x = -27

Divide each side by '-1'.
x = 27

Simplifying
x = 27

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