17-3(4-3x)=6x-1

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Solution for 17-3(4-3x)=6x-1 equation:


Simplifying
17 + -3(4 + -3x) = 6x + -1
17 + (4 * -3 + -3x * -3) = 6x + -1
17 + (-12 + 9x) = 6x + -1

Combine like terms: 17 + -12 = 5
5 + 9x = 6x + -1

Reorder the terms:
5 + 9x = -1 + 6x

Solving
5 + 9x = -1 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
5 + 9x + -6x = -1 + 6x + -6x

Combine like terms: 9x + -6x = 3x
5 + 3x = -1 + 6x + -6x

Combine like terms: 6x + -6x = 0
5 + 3x = -1 + 0
5 + 3x = -1

Add '-5' to each side of the equation.
5 + -5 + 3x = -1 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = -1 + -5
3x = -1 + -5

Combine like terms: -1 + -5 = -6
3x = -6

Divide each side by '3'.
x = -2

Simplifying
x = -2

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