(2x+4)9=(3x-30)-15

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Solution for (2x+4)9=(3x-30)-15 equation:


Simplifying
(2x + 4) * 9 = (3x + -30) + -15

Reorder the terms:
(4 + 2x) * 9 = (3x + -30) + -15

Reorder the terms for easier multiplication:
9(4 + 2x) = (3x + -30) + -15
(4 * 9 + 2x * 9) = (3x + -30) + -15
(36 + 18x) = (3x + -30) + -15

Reorder the terms:
36 + 18x = (-30 + 3x) + -15

Remove parenthesis around (-30 + 3x)
36 + 18x = -30 + 3x + -15

Reorder the terms:
36 + 18x = -30 + -15 + 3x

Combine like terms: -30 + -15 = -45
36 + 18x = -45 + 3x

Solving
36 + 18x = -45 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
36 + 18x + -3x = -45 + 3x + -3x

Combine like terms: 18x + -3x = 15x
36 + 15x = -45 + 3x + -3x

Combine like terms: 3x + -3x = 0
36 + 15x = -45 + 0
36 + 15x = -45

Add '-36' to each side of the equation.
36 + -36 + 15x = -45 + -36

Combine like terms: 36 + -36 = 0
0 + 15x = -45 + -36
15x = -45 + -36

Combine like terms: -45 + -36 = -81
15x = -81

Divide each side by '15'.
x = -5.4

Simplifying
x = -5.4

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