3(3x+1)-2(2x+2)=24

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Solution for 3(3x+1)-2(2x+2)=24 equation:


Simplifying
3(3x + 1) + -2(2x + 2) = 24

Reorder the terms:
3(1 + 3x) + -2(2x + 2) = 24
(1 * 3 + 3x * 3) + -2(2x + 2) = 24
(3 + 9x) + -2(2x + 2) = 24

Reorder the terms:
3 + 9x + -2(2 + 2x) = 24
3 + 9x + (2 * -2 + 2x * -2) = 24
3 + 9x + (-4 + -4x) = 24

Reorder the terms:
3 + -4 + 9x + -4x = 24

Combine like terms: 3 + -4 = -1
-1 + 9x + -4x = 24

Combine like terms: 9x + -4x = 5x
-1 + 5x = 24

Solving
-1 + 5x = 24

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 5x = 24 + 1

Combine like terms: -1 + 1 = 0
0 + 5x = 24 + 1
5x = 24 + 1

Combine like terms: 24 + 1 = 25
5x = 25

Divide each side by '5'.
x = 5

Simplifying
x = 5

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