3(x+6)-11=2(x+3)+6

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Solution for 3(x+6)-11=2(x+3)+6 equation:


Simplifying
3(x + 6) + -11 = 2(x + 3) + 6

Reorder the terms:
3(6 + x) + -11 = 2(x + 3) + 6
(6 * 3 + x * 3) + -11 = 2(x + 3) + 6
(18 + 3x) + -11 = 2(x + 3) + 6

Reorder the terms:
18 + -11 + 3x = 2(x + 3) + 6

Combine like terms: 18 + -11 = 7
7 + 3x = 2(x + 3) + 6

Reorder the terms:
7 + 3x = 2(3 + x) + 6
7 + 3x = (3 * 2 + x * 2) + 6
7 + 3x = (6 + 2x) + 6

Reorder the terms:
7 + 3x = 6 + 6 + 2x

Combine like terms: 6 + 6 = 12
7 + 3x = 12 + 2x

Solving
7 + 3x = 12 + 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.
7 + 3x + -2x = 12 + 2x + -2x

Combine like terms: 3x + -2x = 1x
7 + 1x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
7 + 1x = 12 + 0
7 + 1x = 12

Add '-7' to each side of the equation.
7 + -7 + 1x = 12 + -7

Combine like terms: 7 + -7 = 0
0 + 1x = 12 + -7
1x = 12 + -7

Combine like terms: 12 + -7 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5

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