Solve 3(x-1)-1=6x-3(-1 x)

Question

Solve the equation

x = - \frac{2}{3}

Alternative Form

x = - 0. \dot{6}

Evaluate

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

Simplify

More Steps

Evaluate

6 x - 3 (- x)

Multiply the numbers

6 x - (- 3 x)

Rewrite the expression

6 x + 3 x

Collect like terms by calculating the sum or difference of their coefficients

(6 + 3) x

Add the numbers

9 x

3 (x - 1) - 1 = 9 x

Move the expression to the left side

3 (x - 1) - 1 - 9 x = 0

Calculate

More Steps

Evaluate

3 (x - 1) - 1 - 9 x

Expand the expression

More Steps

Calculate

3 (x - 1)

Apply the distributive property

3 x - 3 \times 1

Any expression multiplied by 1 remains the same

3 x - 3

3 x - 3 - 1 - 9 x

Subtract the terms

More Steps

Evaluate

3 x - 9 x

Collect like terms by calculating the sum or difference of their coefficients

(3 - 9) x

Subtract the numbers

- 6 x

- 6 x - 3 - 1

Subtract the numbers

- 6 x - 4

- 6 x - 4 = 0

Move the constant to the right-hand side and change its sign

- 6 x = 0 + 4

Removing 0 doesn't change the value,so remove it from the expression

- 6 x = 4

Change the signs on both sides of the equation

6 x = - 4

Divide both sides

\frac{6 x}{6} = \frac{- 4}{6}

Divide the numbers

x = \frac{- 4}{6}

Solution

More Steps

Evaluate

\frac{- 4}{6}

Cancel out the common factor 2

\frac{- 2}{3}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{2}{3}

x = - \frac{2}{3}

Alternative Form

x = - 0. \dot{6}

Show Solution

Rewrite the equation

3 x = - 2

Evaluate

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

Evaluate

More Steps

Evaluate

3 (x - 1) - 1

Expand the expression

More Steps

Calculate

3 (x - 1)

Apply the distributive property

3 x - 3 \times 1

Any expression multiplied by 1 remains the same

3 x - 3

3 x - 3 - 1

Subtract the numbers

3 x - 4

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

Evaluate

More Steps

Evaluate

6 x - 3 (- x)

Multiply the numbers

6 x - (- 3 x)

Rewrite the expression

6 x + 3 x

Collect like terms by calculating the sum or difference of their coefficients

(6 + 3) x

Add the numbers

9 x

3 x - 4 = 9 x

Move the variable to the left side

- 6 x - 4 = 0

Move the constant to the right side

- 6 x = 4

Multiply both sides

6 x = - 4

Solution

3 x = - 2

Show Solution

Solve the equation

Rewrite the equation

Graph