(3x+5)+(3x-5)=(x+37)

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Solution for (3x+5)+(3x-5)=(x+37) equation:


Simplifying
(3x + 5) + (3x + -5) = (x + 37)

Reorder the terms:
(5 + 3x) + (3x + -5) = (x + 37)

Remove parenthesis around (5 + 3x)
5 + 3x + (3x + -5) = (x + 37)

Reorder the terms:
5 + 3x + (-5 + 3x) = (x + 37)

Remove parenthesis around (-5 + 3x)
5 + 3x + -5 + 3x = (x + 37)

Reorder the terms:
5 + -5 + 3x + 3x = (x + 37)

Combine like terms: 5 + -5 = 0
0 + 3x + 3x = (x + 37)
3x + 3x = (x + 37)

Combine like terms: 3x + 3x = 6x
6x = (x + 37)

Reorder the terms:
6x = (37 + x)

Remove parenthesis around (37 + x)
6x = 37 + x

Solving
6x = 37 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6x + -1x = 37 + x + -1x

Combine like terms: 6x + -1x = 5x
5x = 37 + x + -1x

Combine like terms: x + -1x = 0
5x = 37 + 0
5x = 37

Divide each side by '5'.
x = 7.4

Simplifying
x = 7.4

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