2(x+2)+3(x+4)=39

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Solution for 2(x+2)+3(x+4)=39 equation: 


Simplifying
2(x + 2) + 3(x + 4) = 39

Reorder the terms:
2(2 + x) + 3(x + 4) = 39
(2 * 2 + x * 2) + 3(x + 4) = 39
(4 + 2x) + 3(x + 4) = 39

Reorder the terms:
4 + 2x + 3(4 + x) = 39
4 + 2x + (4 * 3 + x * 3) = 39
4 + 2x + (12 + 3x) = 39

Reorder the terms:
4 + 12 + 2x + 3x = 39

Combine like terms: 4 + 12 = 16
16 + 2x + 3x = 39

Combine like terms: 2x + 3x = 5x
16 + 5x = 39

Solving
16 + 5x = 39

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 = 39 + -16

Combine like terms: 16 + -16 = 0
0 + 5x = 39 + -16
5x = 39 + -16

Combine like terms: 39 + -16 = 23
5x = 23

Divide each side by '5'.
x = 4.6

Simplifying
x = 4.6

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