3(x+3)+11=2(x+4)

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Solution for 3(x+3)+11=2(x+4) equation:


Simplifying
3(x + 3) + 11 = 2(x + 4)

Reorder the terms:
3(3 + x) + 11 = 2(x + 4)
(3 * 3 + x * 3) + 11 = 2(x + 4)
(9 + 3x) + 11 = 2(x + 4)

Reorder the terms:
9 + 11 + 3x = 2(x + 4)

Combine like terms: 9 + 11 = 20
20 + 3x = 2(x + 4)

Reorder the terms:
20 + 3x = 2(4 + x)
20 + 3x = (4 * 2 + x * 2)
20 + 3x = (8 + 2x)

Solving
20 + 3x = 8 + 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.
20 + 3x + -2x = 8 + 2x + -2x

Combine like terms: 3x + -2x = 1x
20 + 1x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
20 + 1x = 8 + 0
20 + 1x = 8

Add '-20' to each side of the equation.
20 + -20 + 1x = 8 + -20

Combine like terms: 20 + -20 = 0
0 + 1x = 8 + -20
1x = 8 + -20

Combine like terms: 8 + -20 = -12
1x = -12

Divide each side by '1'.
x = -12

Simplifying
x = -12

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