(3x+13)+(3x+21)=(7x+22)

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Solution for (3x+13)+(3x+21)=(7x+22) equation:


Simplifying
(3x + 13) + (3x + 21) = (7x + 22)

Reorder the terms:
(13 + 3x) + (3x + 21) = (7x + 22)

Remove parenthesis around (13 + 3x)
13 + 3x + (3x + 21) = (7x + 22)

Reorder the terms:
13 + 3x + (21 + 3x) = (7x + 22)

Remove parenthesis around (21 + 3x)
13 + 3x + 21 + 3x = (7x + 22)

Reorder the terms:
13 + 21 + 3x + 3x = (7x + 22)

Combine like terms: 13 + 21 = 34
34 + 3x + 3x = (7x + 22)

Combine like terms: 3x + 3x = 6x
34 + 6x = (7x + 22)

Reorder the terms:
34 + 6x = (22 + 7x)

Remove parenthesis around (22 + 7x)
34 + 6x = 22 + 7x

Solving
34 + 6x = 22 + 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.
34 + 6x + -7x = 22 + 7x + -7x

Combine like terms: 6x + -7x = -1x
34 + -1x = 22 + 7x + -7x

Combine like terms: 7x + -7x = 0
34 + -1x = 22 + 0
34 + -1x = 22

Add '-34' to each side of the equation.
34 + -34 + -1x = 22 + -34

Combine like terms: 34 + -34 = 0
0 + -1x = 22 + -34
-1x = 22 + -34

Combine like terms: 22 + -34 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12

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