3[6-(-4x-1)]=96x+42

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Solution for 3[6-(-4x-1)]=96x+42 equation:


Simplifying
3[6 + -1(-4x + -1)] = 96x + 42

Reorder the terms:
3[6 + -1(-1 + -4x)] = 96x + 42
3[6 + (-1 * -1 + -4x * -1)] = 96x + 42
3[6 + (1 + 4x)] = 96x + 42

Combine like terms: 6 + 1 = 7
3[7 + 4x] = 96x + 42
[7 * 3 + 4x * 3] = 96x + 42
[21 + 12x] = 96x + 42

Reorder the terms:
21 + 12x = 42 + 96x

Solving
21 + 12x = 42 + 96x

Solving for variable 'x'.

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

Add '-96x' to each side of the equation.
21 + 12x + -96x = 42 + 96x + -96x

Combine like terms: 12x + -96x = -84x
21 + -84x = 42 + 96x + -96x

Combine like terms: 96x + -96x = 0
21 + -84x = 42 + 0
21 + -84x = 42

Add '-21' to each side of the equation.
21 + -21 + -84x = 42 + -21

Combine like terms: 21 + -21 = 0
0 + -84x = 42 + -21
-84x = 42 + -21

Combine like terms: 42 + -21 = 21
-84x = 21

Divide each side by '-84'.
x = -0.25

Simplifying
x = -0.25

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