2(x+4)+3(x+2)=34

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Solution for 2(x+4)+3(x+2)=34 equation: 


Simplifying
2(x + 4) + 3(x + 2) = 34

Reorder the terms:
2(4 + x) + 3(x + 2) = 34
(4 * 2 + x * 2) + 3(x + 2) = 34
(8 + 2x) + 3(x + 2) = 34

Reorder the terms:
8 + 2x + 3(2 + x) = 34
8 + 2x + (2 * 3 + x * 3) = 34
8 + 2x + (6 + 3x) = 34

Reorder the terms:
8 + 6 + 2x + 3x = 34

Combine like terms: 8 + 6 = 14
14 + 2x + 3x = 34

Combine like terms: 2x + 3x = 5x
14 + 5x = 34

Solving
14 + 5x = 34

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + 5x = 34 + -14

Combine like terms: 14 + -14 = 0
0 + 5x = 34 + -14
5x = 34 + -14

Combine like terms: 34 + -14 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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