What is the answer to (2(x-1))/3-3=-3 ?

The answer to (2(x-1))/3-3=-3 is x=1

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(2(x-1))/3-3=-3

\frac{2 ( x - 1 )}{3} - 3 = - 3

x = 1

Solution steps

\frac{2 ( x - 1 )}{3} - 3 = - 3

Add

3

to both sides

\frac{2 ( x - 1 )}{3} - 3 + 3 = - 3 + 3

Simplify

\frac{2 ( x - 1 )}{3} = 0

Multiply both sides by

3

2 (x - 1) = 0

Divide both sides by

2

x - 1 = 0

Move

1

to the right side

x = 1

6 x - (2 x + 1) = - (- 5 x + (- (- 2 x - 1)))

5 - 6 x + 3 x = 8 + 9 x - 7

\frac{7}{4} x = \frac{2}{3}

\frac{x + 2}{4} + \frac{x + 6}{2} = 1

\frac{x}{2} - 2 = 6