4[4-(-6x-1)]=216x+52

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Solution for 4[4-(-6x-1)]=216x+52 equation:


Simplifying
4[4 + -1(-6x + -1)] = 216x + 52

Reorder the terms:
4[4 + -1(-1 + -6x)] = 216x + 52
4[4 + (-1 * -1 + -6x * -1)] = 216x + 52
4[4 + (1 + 6x)] = 216x + 52

Combine like terms: 4 + 1 = 5
4[5 + 6x] = 216x + 52
[5 * 4 + 6x * 4] = 216x + 52
[20 + 24x] = 216x + 52

Reorder the terms:
20 + 24x = 52 + 216x

Solving
20 + 24x = 52 + 216x

Solving for variable 'x'.

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

Add '-216x' to each side of the equation.
20 + 24x + -216x = 52 + 216x + -216x

Combine like terms: 24x + -216x = -192x
20 + -192x = 52 + 216x + -216x

Combine like terms: 216x + -216x = 0
20 + -192x = 52 + 0
20 + -192x = 52

Add '-20' to each side of the equation.
20 + -20 + -192x = 52 + -20

Combine like terms: 20 + -20 = 0
0 + -192x = 52 + -20
-192x = 52 + -20

Combine like terms: 52 + -20 = 32
-192x = 32

Divide each side by '-192'.
x = -0.1666666667

Simplifying
x = -0.1666666667

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