3(2x-8)=48-4(x+1)

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Solution for 3(2x-8)=48-4(x+1) equation:


Simplifying
3(2x + -8) = 48 + -4(x + 1)

Reorder the terms:
3(-8 + 2x) = 48 + -4(x + 1)
(-8 * 3 + 2x * 3) = 48 + -4(x + 1)
(-24 + 6x) = 48 + -4(x + 1)

Reorder the terms:
-24 + 6x = 48 + -4(1 + x)
-24 + 6x = 48 + (1 * -4 + x * -4)
-24 + 6x = 48 + (-4 + -4x)

Combine like terms: 48 + -4 = 44
-24 + 6x = 44 + -4x

Solving
-24 + 6x = 44 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-24 + 6x + 4x = 44 + -4x + 4x

Combine like terms: 6x + 4x = 10x
-24 + 10x = 44 + -4x + 4x

Combine like terms: -4x + 4x = 0
-24 + 10x = 44 + 0
-24 + 10x = 44

Add '24' to each side of the equation.
-24 + 24 + 10x = 44 + 24

Combine like terms: -24 + 24 = 0
0 + 10x = 44 + 24
10x = 44 + 24

Combine like terms: 44 + 24 = 68
10x = 68

Divide each side by '10'.
x = 6.8

Simplifying
x = 6.8

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