3[8-(-3x-1)]=63x+45

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Solution for 3[8-(-3x-1)]=63x+45 equation:


Simplifying
3[8 + -1(-3x + -1)] = 63x + 45

Reorder the terms:
3[8 + -1(-1 + -3x)] = 63x + 45
3[8 + (-1 * -1 + -3x * -1)] = 63x + 45
3[8 + (1 + 3x)] = 63x + 45

Combine like terms: 8 + 1 = 9
3[9 + 3x] = 63x + 45
[9 * 3 + 3x * 3] = 63x + 45
[27 + 9x] = 63x + 45

Reorder the terms:
27 + 9x = 45 + 63x

Solving
27 + 9x = 45 + 63x

Solving for variable 'x'.

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

Add '-63x' to each side of the equation.
27 + 9x + -63x = 45 + 63x + -63x

Combine like terms: 9x + -63x = -54x
27 + -54x = 45 + 63x + -63x

Combine like terms: 63x + -63x = 0
27 + -54x = 45 + 0
27 + -54x = 45

Add '-27' to each side of the equation.
27 + -27 + -54x = 45 + -27

Combine like terms: 27 + -27 = 0
0 + -54x = 45 + -27
-54x = 45 + -27

Combine like terms: 45 + -27 = 18
-54x = 18

Divide each side by '-54'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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