(3x+12)+(3x+18)=(7x+13)

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Solution for (3x+12)+(3x+18)=(7x+13) equation:


Simplifying
(3x + 12) + (3x + 18) = (7x + 13)

Reorder the terms:
(12 + 3x) + (3x + 18) = (7x + 13)

Remove parenthesis around (12 + 3x)
12 + 3x + (3x + 18) = (7x + 13)

Reorder the terms:
12 + 3x + (18 + 3x) = (7x + 13)

Remove parenthesis around (18 + 3x)
12 + 3x + 18 + 3x = (7x + 13)

Reorder the terms:
12 + 18 + 3x + 3x = (7x + 13)

Combine like terms: 12 + 18 = 30
30 + 3x + 3x = (7x + 13)

Combine like terms: 3x + 3x = 6x
30 + 6x = (7x + 13)

Reorder the terms:
30 + 6x = (13 + 7x)

Remove parenthesis around (13 + 7x)
30 + 6x = 13 + 7x

Solving
30 + 6x = 13 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
30 + 6x + -7x = 13 + 7x + -7x

Combine like terms: 6x + -7x = -1x
30 + -1x = 13 + 7x + -7x

Combine like terms: 7x + -7x = 0
30 + -1x = 13 + 0
30 + -1x = 13

Add '-30' to each side of the equation.
30 + -30 + -1x = 13 + -30

Combine like terms: 30 + -30 = 0
0 + -1x = 13 + -30
-1x = 13 + -30

Combine like terms: 13 + -30 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17

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