3(x-3)+11=2(x+5)

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Solution for 3(x-3)+11=2(x+5) equation: 


Simplifying
3(x + -3) + 11 = 2(x + 5)

Reorder the terms:
3(-3 + x) + 11 = 2(x + 5)
(-3 * 3 + x * 3) + 11 = 2(x + 5)
(-9 + 3x) + 11 = 2(x + 5)

Reorder the terms:
-9 + 11 + 3x = 2(x + 5)

Combine like terms: -9 + 11 = 2
2 + 3x = 2(x + 5)

Reorder the terms:
2 + 3x = 2(5 + x)
2 + 3x = (5 * 2 + x * 2)
2 + 3x = (10 + 2x)

Solving
2 + 3x = 10 + 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.
2 + 3x + -2x = 10 + 2x + -2x

Combine like terms: 3x + -2x = 1x
2 + 1x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
2 + 1x = 10 + 0
2 + 1x = 10

Add '-2' to each side of the equation.
2 + -2 + 1x = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 10 + -2
1x = 10 + -2

Combine like terms: 10 + -2 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8

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