-42=6-3(8x-8)+24

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Solution for -42=6-3(8x-8)+24 equation:


Simplifying
-42 = 6 + -3(8x + -8) + 24

Reorder the terms:
-42 = 6 + -3(-8 + 8x) + 24
-42 = 6 + (-8 * -3 + 8x * -3) + 24
-42 = 6 + (24 + -24x) + 24

Reorder the terms:
-42 = 6 + 24 + 24 + -24x

Combine like terms: 6 + 24 = 30
-42 = 30 + 24 + -24x

Combine like terms: 30 + 24 = 54
-42 = 54 + -24x

Solving
-42 = 54 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
-42 + 24x = 54 + -24x + 24x

Combine like terms: -24x + 24x = 0
-42 + 24x = 54 + 0
-42 + 24x = 54

Add '42' to each side of the equation.
-42 + 42 + 24x = 54 + 42

Combine like terms: -42 + 42 = 0
0 + 24x = 54 + 42
24x = 54 + 42

Combine like terms: 54 + 42 = 96
24x = 96

Divide each side by '24'.
x = 4

Simplifying
x = 4

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