3[6-(-4x-7)]=60x+123

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Solution for 3[6-(-4x-7)]=60x+123 equation:


Simplifying
3[6 + -1(-4x + -7)] = 60x + 123

Reorder the terms:
3[6 + -1(-7 + -4x)] = 60x + 123
3[6 + (-7 * -1 + -4x * -1)] = 60x + 123
3[6 + (7 + 4x)] = 60x + 123

Combine like terms: 6 + 7 = 13
3[13 + 4x] = 60x + 123
[13 * 3 + 4x * 3] = 60x + 123
[39 + 12x] = 60x + 123

Reorder the terms:
39 + 12x = 123 + 60x

Solving
39 + 12x = 123 + 60x

Solving for variable 'x'.

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

Add '-60x' to each side of the equation.
39 + 12x + -60x = 123 + 60x + -60x

Combine like terms: 12x + -60x = -48x
39 + -48x = 123 + 60x + -60x

Combine like terms: 60x + -60x = 0
39 + -48x = 123 + 0
39 + -48x = 123

Add '-39' to each side of the equation.
39 + -39 + -48x = 123 + -39

Combine like terms: 39 + -39 = 0
0 + -48x = 123 + -39
-48x = 123 + -39

Combine like terms: 123 + -39 = 84
-48x = 84

Divide each side by '-48'.
x = -1.75

Simplifying
x = -1.75

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