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

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


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

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

Reorder the terms:
9 + 3x + 2(-4 + x) = 11
9 + 3x + (-4 * 2 + x * 2) = 11
9 + 3x + (-8 + 2x) = 11

Reorder the terms:
9 + -8 + 3x + 2x = 11

Combine like terms: 9 + -8 = 1
1 + 3x + 2x = 11

Combine like terms: 3x + 2x = 5x
1 + 5x = 11

Solving
1 + 5x = 11

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 5x = 11 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = 11 + -1
5x = 11 + -1

Combine like terms: 11 + -1 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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