3(x+3)+3=2(x+8)+6

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Solution for 3(x+3)+3=2(x+8)+6 equation: 


Simplifying
3(x + 3) + 3 = 2(x + 8) + 6

Reorder the terms:
3(3 + x) + 3 = 2(x + 8) + 6
(3 * 3 + x * 3) + 3 = 2(x + 8) + 6
(9 + 3x) + 3 = 2(x + 8) + 6

Reorder the terms:
9 + 3 + 3x = 2(x + 8) + 6

Combine like terms: 9 + 3 = 12
12 + 3x = 2(x + 8) + 6

Reorder the terms:
12 + 3x = 2(8 + x) + 6
12 + 3x = (8 * 2 + x * 2) + 6
12 + 3x = (16 + 2x) + 6

Reorder the terms:
12 + 3x = 16 + 6 + 2x

Combine like terms: 16 + 6 = 22
12 + 3x = 22 + 2x

Solving
12 + 3x = 22 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
12 + 3x + -2x = 22 + 2x + -2x

Combine like terms: 3x + -2x = 1x
12 + 1x = 22 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + 1x = 22 + 0
12 + 1x = 22

Add '-12' to each side of the equation.
12 + -12 + 1x = 22 + -12

Combine like terms: 12 + -12 = 0
0 + 1x = 22 + -12
1x = 22 + -12

Combine like terms: 22 + -12 = 10
1x = 10

Divide each side by '1'.
x = 10

Simplifying
x = 10

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