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

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


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

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

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

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

Combine like terms: 4 + 9 = 13
13 + 2x = 15(3x + -30)

Reorder the terms:
13 + 2x = 15(-30 + 3x)
13 + 2x = (-30 * 15 + 3x * 15)
13 + 2x = (-450 + 45x)

Solving
13 + 2x = -450 + 45x

Solving for variable 'x'.

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

Add '-45x' to each side of the equation.
13 + 2x + -45x = -450 + 45x + -45x

Combine like terms: 2x + -45x = -43x
13 + -43x = -450 + 45x + -45x

Combine like terms: 45x + -45x = 0
13 + -43x = -450 + 0
13 + -43x = -450

Add '-13' to each side of the equation.
13 + -13 + -43x = -450 + -13

Combine like terms: 13 + -13 = 0
0 + -43x = -450 + -13
-43x = -450 + -13

Combine like terms: -450 + -13 = -463
-43x = -463

Divide each side by '-43'.
x = 10.76744186

Simplifying
x = 10.76744186

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