3(3x+2)+24=5x+2

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Solution for 3(3x+2)+24=5x+2 equation:


Simplifying
3(3x + 2) + 24 = 5x + 2

Reorder the terms:
3(2 + 3x) + 24 = 5x + 2
(2 * 3 + 3x * 3) + 24 = 5x + 2
(6 + 9x) + 24 = 5x + 2

Reorder the terms:
6 + 24 + 9x = 5x + 2

Combine like terms: 6 + 24 = 30
30 + 9x = 5x + 2

Reorder the terms:
30 + 9x = 2 + 5x

Solving
30 + 9x = 2 + 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.
30 + 9x + -5x = 2 + 5x + -5x

Combine like terms: 9x + -5x = 4x
30 + 4x = 2 + 5x + -5x

Combine like terms: 5x + -5x = 0
30 + 4x = 2 + 0
30 + 4x = 2

Add '-30' to each side of the equation.
30 + -30 + 4x = 2 + -30

Combine like terms: 30 + -30 = 0
0 + 4x = 2 + -30
4x = 2 + -30

Combine like terms: 2 + -30 = -28
4x = -28

Divide each side by '4'.
x = -7

Simplifying
x = -7

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