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 = -22
-22 + 3x + 2x = -32

Combine like terms: 3x + 2x = 5x
-22 + 5x = -32

Solving
-22 + 5x = -32

Solving for variable 'x'.

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

Add '22' to each side of the equation.
-22 + 22 + 5x = -32 + 22

Combine like terms: -22 + 22 = 0
0 + 5x = -32 + 22
5x = -32 + 22

Combine like terms: -32 + 22 = -10
5x = -10

Divide each side by '5'.
x = -2

Simplifying
x = -2

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