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

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


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

Reorder the terms:
4(4 + x) + -2(4x + -4) = 48
(4 * 4 + x * 4) + -2(4x + -4) = 48
(16 + 4x) + -2(4x + -4) = 48

Reorder the terms:
16 + 4x + -2(-4 + 4x) = 48
16 + 4x + (-4 * -2 + 4x * -2) = 48
16 + 4x + (8 + -8x) = 48

Reorder the terms:
16 + 8 + 4x + -8x = 48

Combine like terms: 16 + 8 = 24
24 + 4x + -8x = 48

Combine like terms: 4x + -8x = -4x
24 + -4x = 48

Solving
24 + -4x = 48

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + -24 + -4x = 48 + -24

Combine like terms: 24 + -24 = 0
0 + -4x = 48 + -24
-4x = 48 + -24

Combine like terms: 48 + -24 = 24
-4x = 24

Divide each side by '-4'.
x = -6

Simplifying
x = -6

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