3(2x+4)+2(3x+1)=38

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Solution for 3(2x+4)+2(3x+1)=38 equation:


Simplifying
3(2x + 4) + 2(3x + 1) = 38

Reorder the terms:
3(4 + 2x) + 2(3x + 1) = 38
(4 * 3 + 2x * 3) + 2(3x + 1) = 38
(12 + 6x) + 2(3x + 1) = 38

Reorder the terms:
12 + 6x + 2(1 + 3x) = 38
12 + 6x + (1 * 2 + 3x * 2) = 38
12 + 6x + (2 + 6x) = 38

Reorder the terms:
12 + 2 + 6x + 6x = 38

Combine like terms: 12 + 2 = 14
14 + 6x + 6x = 38

Combine like terms: 6x + 6x = 12x
14 + 12x = 38

Solving
14 + 12x = 38

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 + 12x = 38 + -14

Combine like terms: 14 + -14 = 0
0 + 12x = 38 + -14
12x = 38 + -14

Combine like terms: 38 + -14 = 24
12x = 24

Divide each side by '12'.
x = 2

Simplifying
x = 2

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