3(x+2)+2(x+4)=4x+29

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Solution for 3(x+2)+2(x+4)=4x+29 equation: 


Simplifying
3(x + 2) + 2(x + 4) = 4x + 29

Reorder the terms:
3(2 + x) + 2(x + 4) = 4x + 29
(2 * 3 + x * 3) + 2(x + 4) = 4x + 29
(6 + 3x) + 2(x + 4) = 4x + 29

Reorder the terms:
6 + 3x + 2(4 + x) = 4x + 29
6 + 3x + (4 * 2 + x * 2) = 4x + 29
6 + 3x + (8 + 2x) = 4x + 29

Reorder the terms:
6 + 8 + 3x + 2x = 4x + 29

Combine like terms: 6 + 8 = 14
14 + 3x + 2x = 4x + 29

Combine like terms: 3x + 2x = 5x
14 + 5x = 4x + 29

Reorder the terms:
14 + 5x = 29 + 4x

Solving
14 + 5x = 29 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
14 + 5x + -4x = 29 + 4x + -4x

Combine like terms: 5x + -4x = 1x
14 + 1x = 29 + 4x + -4x

Combine like terms: 4x + -4x = 0
14 + 1x = 29 + 0
14 + 1x = 29

Add '-14' to each side of the equation.
14 + -14 + 1x = 29 + -14

Combine like terms: 14 + -14 = 0
0 + 1x = 29 + -14
1x = 29 + -14

Combine like terms: 29 + -14 = 15
1x = 15

Divide each side by '1'.
x = 15

Simplifying
x = 15

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