Solve 3x-2(3-4x)-1

Question

Simplify the expression

11 x - 7

Evaluate

3 x - 2 (3 - 4 x) - 1

Expand the expression

More Steps

Calculate

- 2 (3 - 4 x)

Apply the distributive property

- 2 \times 3 - (- 2 \times 4 x)

Multiply the numbers

- 6 - (- 2 \times 4 x)

Multiply the numbers

- 6 - (- 8 x)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 6 + 8 x

3 x - 6 + 8 x - 1

Add the terms

More Steps

Evaluate

3 x + 8 x

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

(3 + 8) x

Add the numbers

11 x

11 x - 6 - 1

Solution

11 x - 7

Show Solution

Find the roots

x = \frac{7}{11}

Alternative Form

x = 0. \dot{6} \dot{3}

Evaluate

3 x - 2 (3 - 4 x) - 1

To find the roots of the expression,set the expression equal to 0

3 x - 2 (3 - 4 x) - 1 = 0

Subtract the terms

More Steps

Simplify

3 x - 2 (3 - 4 x)

Expand the expression

More Steps

Calculate

- 2 (3 - 4 x)

Apply the distributive property

- 2 \times 3 - (- 2 \times 4 x)

Multiply the numbers

- 6 - (- 2 \times 4 x)

Multiply the numbers

- 6 - (- 8 x)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 6 + 8 x

3 x - 6 + 8 x

Add the terms

More Steps

Evaluate

3 x + 8 x

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

(3 + 8) x

Add the numbers

11 x

11 x - 6

11 x - 6 - 1 = 0

Subtract the numbers

11 x - 7 = 0

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

11 x = 0 + 7

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

11 x = 7

Divide both sides

\frac{11 x}{11} = \frac{7}{11}

Solution

x = \frac{7}{11}

Alternative Form

x = 0. \dot{6} \dot{3}

Show Solution