3(x+4)+2(x-5)=32

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Solution for 3(x+4)+2(x-5)=32 equation: 


Simplifying
3(x + 4) + 2(x + -5) = 32

Reorder the terms:
3(4 + x) + 2(x + -5) = 32
(4 * 3 + x * 3) + 2(x + -5) = 32
(12 + 3x) + 2(x + -5) = 32

Reorder the terms:
12 + 3x + 2(-5 + x) = 32
12 + 3x + (-5 * 2 + x * 2) = 32
12 + 3x + (-10 + 2x) = 32

Reorder the terms:
12 + -10 + 3x + 2x = 32

Combine like terms: 12 + -10 = 2
2 + 3x + 2x = 32

Combine like terms: 3x + 2x = 5x
2 + 5x = 32

Solving
2 + 5x = 32

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 5x = 32 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 32 + -2
5x = 32 + -2

Combine like terms: 32 + -2 = 30
5x = 30

Divide each side by '5'.
x = 6

Simplifying
x = 6

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