3(x+2)+2(3x+2)=28

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Solution for 3(x+2)+2(3x+2)=28 equation:


Simplifying
3(x + 2) + 2(3x + 2) = 28

Reorder the terms:
3(2 + x) + 2(3x + 2) = 28
(2 * 3 + x * 3) + 2(3x + 2) = 28
(6 + 3x) + 2(3x + 2) = 28

Reorder the terms:
6 + 3x + 2(2 + 3x) = 28
6 + 3x + (2 * 2 + 3x * 2) = 28
6 + 3x + (4 + 6x) = 28

Reorder the terms:
6 + 4 + 3x + 6x = 28

Combine like terms: 6 + 4 = 10
10 + 3x + 6x = 28

Combine like terms: 3x + 6x = 9x
10 + 9x = 28

Solving
10 + 9x = 28

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 9x = 28 + -10

Combine like terms: 10 + -10 = 0
0 + 9x = 28 + -10
9x = 28 + -10

Combine like terms: 28 + -10 = 18
9x = 18

Divide each side by '9'.
x = 2

Simplifying
x = 2

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