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

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


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

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

Remove parenthesis around (-8 + 3x)
-8 + 3x + 2(x + -4) = 48

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

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

Combine like terms: -8 + -8 = -16
-16 + 3x + 2x = 48

Combine like terms: 3x + 2x = 5x
-16 + 5x = 48

Solving
-16 + 5x = 48

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + 5x = 48 + 16

Combine like terms: -16 + 16 = 0
0 + 5x = 48 + 16
5x = 48 + 16

Combine like terms: 48 + 16 = 64
5x = 64

Divide each side by '5'.
x = 12.8

Simplifying
x = 12.8

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