3(x-8)+2(x-4)=48

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Solution for 3(x-8)+2(x-4)=48 equation: 


Simplifying
3(x + -8) + 2(x + -4) = 48

Reorder the terms:
3(-8 + x) + 2(x + -4) = 48
(-8 * 3 + x * 3) + 2(x + -4) = 48
(-24 + 3x) + 2(x + -4) = 48

Reorder the terms:
-24 + 3x + 2(-4 + x) = 48
-24 + 3x + (-4 * 2 + x * 2) = 48
-24 + 3x + (-8 + 2x) = 48

Reorder the terms:
-24 + -8 + 3x + 2x = 48

Combine like terms: -24 + -8 = -32
-32 + 3x + 2x = 48

Combine like terms: 3x + 2x = 5x
-32 + 5x = 48

Solving
-32 + 5x = 48

Solving for variable 'x'.

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

Add '32' to each side of the equation.
-32 + 32 + 5x = 48 + 32

Combine like terms: -32 + 32 = 0
0 + 5x = 48 + 32
5x = 48 + 32

Combine like terms: 48 + 32 = 80
5x = 80

Divide each side by '5'.
x = 16

Simplifying
x = 16

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