3(x+3)+2(x+2)=16

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Solution for 3(x+3)+2(x+2)=16 equation: 


Simplifying
3(x + 3) + 2(x + 2) = 16

Reorder the terms:
3(3 + x) + 2(x + 2) = 16
(3 * 3 + x * 3) + 2(x + 2) = 16
(9 + 3x) + 2(x + 2) = 16

Reorder the terms:
9 + 3x + 2(2 + x) = 16
9 + 3x + (2 * 2 + x * 2) = 16
9 + 3x + (4 + 2x) = 16

Reorder the terms:
9 + 4 + 3x + 2x = 16

Combine like terms: 9 + 4 = 13
13 + 3x + 2x = 16

Combine like terms: 3x + 2x = 5x
13 + 5x = 16

Solving
13 + 5x = 16

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -13 + 5x = 16 + -13

Combine like terms: 13 + -13 = 0
0 + 5x = 16 + -13
5x = 16 + -13

Combine like terms: 16 + -13 = 3
5x = 3

Divide each side by '5'.
x = 0.6

Simplifying
x = 0.6

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