8[6-(-3x-4)]=48x+112

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Solution for 8[6-(-3x-4)]=48x+112 equation:


Simplifying
8[6 + -1(-3x + -4)] = 48x + 112

Reorder the terms:
8[6 + -1(-4 + -3x)] = 48x + 112
8[6 + (-4 * -1 + -3x * -1)] = 48x + 112
8[6 + (4 + 3x)] = 48x + 112

Combine like terms: 6 + 4 = 10
8[10 + 3x] = 48x + 112
[10 * 8 + 3x * 8] = 48x + 112
[80 + 24x] = 48x + 112

Reorder the terms:
80 + 24x = 112 + 48x

Solving
80 + 24x = 112 + 48x

Solving for variable 'x'.

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

Add '-48x' to each side of the equation.
80 + 24x + -48x = 112 + 48x + -48x

Combine like terms: 24x + -48x = -24x
80 + -24x = 112 + 48x + -48x

Combine like terms: 48x + -48x = 0
80 + -24x = 112 + 0
80 + -24x = 112

Add '-80' to each side of the equation.
80 + -80 + -24x = 112 + -80

Combine like terms: 80 + -80 = 0
0 + -24x = 112 + -80
-24x = 112 + -80

Combine like terms: 112 + -80 = 32
-24x = 32

Divide each side by '-24'.
x = -1.333333333

Simplifying
x = -1.333333333

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