(9x+18)=[5(x+7)+15]

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Solution for (9x+18)=[5(x+7)+15] equation:


Simplifying
(9x + 18) = [5(x + 7) + 15]

Reorder the terms:
(18 + 9x) = [5(x + 7) + 15]

Remove parenthesis around (18 + 9x)
18 + 9x = [5(x + 7) + 15]

Reorder the terms:
18 + 9x = [5(7 + x) + 15]
18 + 9x = [(7 * 5 + x * 5) + 15]
18 + 9x = [(35 + 5x) + 15]

Reorder the terms:
18 + 9x = [35 + 15 + 5x]

Combine like terms: 35 + 15 = 50
18 + 9x = [50 + 5x]

Remove brackets around [50 + 5x]
18 + 9x = 50 + 5x

Solving
18 + 9x = 50 + 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.
18 + 9x + -5x = 50 + 5x + -5x

Combine like terms: 9x + -5x = 4x
18 + 4x = 50 + 5x + -5x

Combine like terms: 5x + -5x = 0
18 + 4x = 50 + 0
18 + 4x = 50

Add '-18' to each side of the equation.
18 + -18 + 4x = 50 + -18

Combine like terms: 18 + -18 = 0
0 + 4x = 50 + -18
4x = 50 + -18

Combine like terms: 50 + -18 = 32
4x = 32

Divide each side by '4'.
x = 8

Simplifying
x = 8

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