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

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


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

Reorder the terms:
4(-4 + x) = -8(x + 3) + 48
(-4 * 4 + x * 4) = -8(x + 3) + 48
(-16 + 4x) = -8(x + 3) + 48

Reorder the terms:
-16 + 4x = -8(3 + x) + 48
-16 + 4x = (3 * -8 + x * -8) + 48
-16 + 4x = (-24 + -8x) + 48

Reorder the terms:
-16 + 4x = -24 + 48 + -8x

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

Solving
-16 + 4x = 24 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-16 + 4x + 8x = 24 + -8x + 8x

Combine like terms: 4x + 8x = 12x
-16 + 12x = 24 + -8x + 8x

Combine like terms: -8x + 8x = 0
-16 + 12x = 24 + 0
-16 + 12x = 24

Add '16' to each side of the equation.
-16 + 16 + 12x = 24 + 16

Combine like terms: -16 + 16 = 0
0 + 12x = 24 + 16
12x = 24 + 16

Combine like terms: 24 + 16 = 40
12x = 40

Divide each side by '12'.
x = 3.333333333

Simplifying
x = 3.333333333

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