3(x+2)+2(x+5)=36

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Solution for 3(x+2)+2(x+5)=36 equation: 


Simplifying
3(x + 2) + 2(x + 5) = 36

Reorder the terms:
3(2 + x) + 2(x + 5) = 36
(2 * 3 + x * 3) + 2(x + 5) = 36
(6 + 3x) + 2(x + 5) = 36

Reorder the terms:
6 + 3x + 2(5 + x) = 36
6 + 3x + (5 * 2 + x * 2) = 36
6 + 3x + (10 + 2x) = 36

Reorder the terms:
6 + 10 + 3x + 2x = 36

Combine like terms: 6 + 10 = 16
16 + 3x + 2x = 36

Combine like terms: 3x + 2x = 5x
16 + 5x = 36

Solving
16 + 5x = 36

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 5x = 36 + -16

Combine like terms: 16 + -16 = 0
0 + 5x = 36 + -16
5x = 36 + -16

Combine like terms: 36 + -16 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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