7[1-(-9x-2)]=315x+77

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Solution for 7[1-(-9x-2)]=315x+77 equation:


Simplifying
7[1 + -1(-9x + -2)] = 315x + 77

Reorder the terms:
7[1 + -1(-2 + -9x)] = 315x + 77
7[1 + (-2 * -1 + -9x * -1)] = 315x + 77
7[1 + (2 + 9x)] = 315x + 77

Combine like terms: 1 + 2 = 3
7[3 + 9x] = 315x + 77
[3 * 7 + 9x * 7] = 315x + 77
[21 + 63x] = 315x + 77

Reorder the terms:
21 + 63x = 77 + 315x

Solving
21 + 63x = 77 + 315x

Solving for variable 'x'.

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

Add '-315x' to each side of the equation.
21 + 63x + -315x = 77 + 315x + -315x

Combine like terms: 63x + -315x = -252x
21 + -252x = 77 + 315x + -315x

Combine like terms: 315x + -315x = 0
21 + -252x = 77 + 0
21 + -252x = 77

Add '-21' to each side of the equation.
21 + -21 + -252x = 77 + -21

Combine like terms: 21 + -21 = 0
0 + -252x = 77 + -21
-252x = 77 + -21

Combine like terms: 77 + -21 = 56
-252x = 56

Divide each side by '-252'.
x = -0.2222222222

Simplifying
x = -0.2222222222

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