4[6-(-9x-7)]=216x+192

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Solution for 4[6-(-9x-7)]=216x+192 equation:


Simplifying
4[6 + -1(-9x + -7)] = 216x + 192

Reorder the terms:
4[6 + -1(-7 + -9x)] = 216x + 192
4[6 + (-7 * -1 + -9x * -1)] = 216x + 192
4[6 + (7 + 9x)] = 216x + 192

Combine like terms: 6 + 7 = 13
4[13 + 9x] = 216x + 192
[13 * 4 + 9x * 4] = 216x + 192
[52 + 36x] = 216x + 192

Reorder the terms:
52 + 36x = 192 + 216x

Solving
52 + 36x = 192 + 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.
52 + 36x + -216x = 192 + 216x + -216x

Combine like terms: 36x + -216x = -180x
52 + -180x = 192 + 216x + -216x

Combine like terms: 216x + -216x = 0
52 + -180x = 192 + 0
52 + -180x = 192

Add '-52' to each side of the equation.
52 + -52 + -180x = 192 + -52

Combine like terms: 52 + -52 = 0
0 + -180x = 192 + -52
-180x = 192 + -52

Combine like terms: 192 + -52 = 140
-180x = 140

Divide each side by '-180'.
x = -0.7777777778

Simplifying
x = -0.7777777778

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