3[9-(-7x-6)]=168x+171

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Solution for 3[9-(-7x-6)]=168x+171 equation:


Simplifying
3[9 + -1(-7x + -6)] = 168x + 171

Reorder the terms:
3[9 + -1(-6 + -7x)] = 168x + 171
3[9 + (-6 * -1 + -7x * -1)] = 168x + 171
3[9 + (6 + 7x)] = 168x + 171

Combine like terms: 9 + 6 = 15
3[15 + 7x] = 168x + 171
[15 * 3 + 7x * 3] = 168x + 171
[45 + 21x] = 168x + 171

Reorder the terms:
45 + 21x = 171 + 168x

Solving
45 + 21x = 171 + 168x

Solving for variable 'x'.

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

Add '-168x' to each side of the equation.
45 + 21x + -168x = 171 + 168x + -168x

Combine like terms: 21x + -168x = -147x
45 + -147x = 171 + 168x + -168x

Combine like terms: 168x + -168x = 0
45 + -147x = 171 + 0
45 + -147x = 171

Add '-45' to each side of the equation.
45 + -45 + -147x = 171 + -45

Combine like terms: 45 + -45 = 0
0 + -147x = 171 + -45
-147x = 171 + -45

Combine like terms: 171 + -45 = 126
-147x = 126

Divide each side by '-147'.
x = -0.8571428571

Simplifying
x = -0.8571428571

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