(x+5)*3=[(2x-3)+2x]

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Solution for (x+5)*3=[(2x-3)+2x] equation:


Simplifying
(x + 5) * 3 = [(2x + -3) + 2x]

Reorder the terms:
(5 + x) * 3 = [(2x + -3) + 2x]

Reorder the terms for easier multiplication:
3(5 + x) = [(2x + -3) + 2x]
(5 * 3 + x * 3) = [(2x + -3) + 2x]
(15 + 3x) = [(2x + -3) + 2x]

Reorder the terms:
15 + 3x = [(-3 + 2x) + 2x]

Remove parenthesis around (-3 + 2x)
15 + 3x = [-3 + 2x + 2x]

Combine like terms: 2x + 2x = 4x
15 + 3x = [-3 + 4x]

Remove brackets around [-3 + 4x]
15 + 3x = -3 + 4x

Solving
15 + 3x = -3 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
15 + 3x + -4x = -3 + 4x + -4x

Combine like terms: 3x + -4x = -1x
15 + -1x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + -1x = -3 + 0
15 + -1x = -3

Add '-15' to each side of the equation.
15 + -15 + -1x = -3 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = -3 + -15
-1x = -3 + -15

Combine like terms: -3 + -15 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18

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