(2x+2)3=(x+9)4

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


Simplifying
(2x + 2) * 3 = (x + 9) * 4

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

Reorder the terms for easier multiplication:
3(2 + 2x) = (x + 9) * 4
(2 * 3 + 2x * 3) = (x + 9) * 4
(6 + 6x) = (x + 9) * 4

Reorder the terms:
6 + 6x = (9 + x) * 4

Reorder the terms for easier multiplication:
6 + 6x = 4(9 + x)
6 + 6x = (9 * 4 + x * 4)
6 + 6x = (36 + 4x)

Solving
6 + 6x = 36 + 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.
6 + 6x + -4x = 36 + 4x + -4x

Combine like terms: 6x + -4x = 2x
6 + 2x = 36 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + 2x = 36 + 0
6 + 2x = 36

Add '-6' to each side of the equation.
6 + -6 + 2x = 36 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = 36 + -6
2x = 36 + -6

Combine like terms: 36 + -6 = 30
2x = 30

Divide each side by '2'.
x = 15

Simplifying
x = 15

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