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

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


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

Reorder the terms:
3(5 + 2x) + 2(3x + 2) = 24
(5 * 3 + 2x * 3) + 2(3x + 2) = 24
(15 + 6x) + 2(3x + 2) = 24

Reorder the terms:
15 + 6x + 2(2 + 3x) = 24
15 + 6x + (2 * 2 + 3x * 2) = 24
15 + 6x + (4 + 6x) = 24

Reorder the terms:
15 + 4 + 6x + 6x = 24

Combine like terms: 15 + 4 = 19
19 + 6x + 6x = 24

Combine like terms: 6x + 6x = 12x
19 + 12x = 24

Solving
19 + 12x = 24

Solving for variable 'x'.

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

Add '-19' to each side of the equation.
19 + -19 + 12x = 24 + -19

Combine like terms: 19 + -19 = 0
0 + 12x = 24 + -19
12x = 24 + -19

Combine like terms: 24 + -19 = 5
12x = 5

Divide each side by '12'.
x = 0.4166666667

Simplifying
x = 0.4166666667

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