4[1-(-3x-6)]=24x+58

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Solution for 4[1-(-3x-6)]=24x+58 equation:


Simplifying
4[1 + -1(-3x + -6)] = 24x + 58

Reorder the terms:
4[1 + -1(-6 + -3x)] = 24x + 58
4[1 + (-6 * -1 + -3x * -1)] = 24x + 58
4[1 + (6 + 3x)] = 24x + 58

Combine like terms: 1 + 6 = 7
4[7 + 3x] = 24x + 58
[7 * 4 + 3x * 4] = 24x + 58
[28 + 12x] = 24x + 58

Reorder the terms:
28 + 12x = 58 + 24x

Solving
28 + 12x = 58 + 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.
28 + 12x + -24x = 58 + 24x + -24x

Combine like terms: 12x + -24x = -12x
28 + -12x = 58 + 24x + -24x

Combine like terms: 24x + -24x = 0
28 + -12x = 58 + 0
28 + -12x = 58

Add '-28' to each side of the equation.
28 + -28 + -12x = 58 + -28

Combine like terms: 28 + -28 = 0
0 + -12x = 58 + -28
-12x = 58 + -28

Combine like terms: 58 + -28 = 30
-12x = 30

Divide each side by '-12'.
x = -2.5

Simplifying
x = -2.5

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