3[3-(-8x-8)]=48x+57

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Solution for 3[3-(-8x-8)]=48x+57 equation:


Simplifying
3[3 + -1(-8x + -8)] = 48x + 57

Reorder the terms:
3[3 + -1(-8 + -8x)] = 48x + 57
3[3 + (-8 * -1 + -8x * -1)] = 48x + 57
3[3 + (8 + 8x)] = 48x + 57

Combine like terms: 3 + 8 = 11
3[11 + 8x] = 48x + 57
[11 * 3 + 8x * 3] = 48x + 57
[33 + 24x] = 48x + 57

Reorder the terms:
33 + 24x = 57 + 48x

Solving
33 + 24x = 57 + 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.
33 + 24x + -48x = 57 + 48x + -48x

Combine like terms: 24x + -48x = -24x
33 + -24x = 57 + 48x + -48x

Combine like terms: 48x + -48x = 0
33 + -24x = 57 + 0
33 + -24x = 57

Add '-33' to each side of the equation.
33 + -33 + -24x = 57 + -33

Combine like terms: 33 + -33 = 0
0 + -24x = 57 + -33
-24x = 57 + -33

Combine like terms: 57 + -33 = 24
-24x = 24

Divide each side by '-24'.
x = -1

Simplifying
x = -1

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