(2x+15)+(6x-37)=(6x+10)

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Solution for (2x+15)+(6x-37)=(6x+10) equation:


Simplifying
(2x + 15) + (6x + -37) = (6x + 10)

Reorder the terms:
(15 + 2x) + (6x + -37) = (6x + 10)

Remove parenthesis around (15 + 2x)
15 + 2x + (6x + -37) = (6x + 10)

Reorder the terms:
15 + 2x + (-37 + 6x) = (6x + 10)

Remove parenthesis around (-37 + 6x)
15 + 2x + -37 + 6x = (6x + 10)

Reorder the terms:
15 + -37 + 2x + 6x = (6x + 10)

Combine like terms: 15 + -37 = -22
-22 + 2x + 6x = (6x + 10)

Combine like terms: 2x + 6x = 8x
-22 + 8x = (6x + 10)

Reorder the terms:
-22 + 8x = (10 + 6x)

Remove parenthesis around (10 + 6x)
-22 + 8x = 10 + 6x

Solving
-22 + 8x = 10 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-22 + 8x + -6x = 10 + 6x + -6x

Combine like terms: 8x + -6x = 2x
-22 + 2x = 10 + 6x + -6x

Combine like terms: 6x + -6x = 0
-22 + 2x = 10 + 0
-22 + 2x = 10

Add '22' to each side of the equation.
-22 + 22 + 2x = 10 + 22

Combine like terms: -22 + 22 = 0
0 + 2x = 10 + 22
2x = 10 + 22

Combine like terms: 10 + 22 = 32
2x = 32

Divide each side by '2'.
x = 16

Simplifying
x = 16

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