Solve 4(x - 2) - 5(2 - 3x) = 4(2x - 6)

Question

Solve the equation

x = - \frac{6}{11}

Alternative Form

x = - 0. \dot{5} \dot{4}

Evaluate

4 (x - 2) - 5 (2 - 3 x) = 4 (2 x - 6)

Calculate

More Steps

Evaluate

4 (x - 2) - 5 (2 - 3 x)

Expand the expression

More Steps

Calculate

4 (x - 2)

Apply the distributive property

4 x - 4 \times 2

Multiply the numbers

4 x - 8

4 x - 8 - 5 (2 - 3 x)

Expand the expression

More Steps

Calculate

- 5 (2 - 3 x)

Apply the distributive property

- 5 \times 2 - (- 5 \times 3 x)

Multiply the numbers

- 10 - (- 5 \times 3 x)

Multiply the numbers

- 10 - (- 15 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

- 10 + 15 x

4 x - 8 - 10 + 15 x

Add the terms

More Steps

Evaluate

4 x + 15 x

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

(4 + 15) x

Add the numbers

19 x

19 x - 8 - 10

Subtract the numbers

19 x - 18

19 x - 18 = 4 (2 x - 6)

Calculate

More Steps

Evaluate

4 (2 x - 6)

Apply the distributive property

4 \times 2 x - 4 \times 6

Multiply the numbers

8 x - 4 \times 6

Multiply the numbers

8 x - 24

19 x - 18 = 8 x - 24

Move the expression to the left side

19 x - 18 - (8 x - 24) = 0

Calculate

More Steps

Add the terms

19 x - 18 - (8 x - 24)

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

19 x - 18 - 8 x + 24

Subtract the terms

More Steps

Evaluate

19 x - 8 x

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

(19 - 8) x

Subtract the numbers

11 x

11 x - 18 + 24

Add the numbers

11 x + 6

11 x + 6 = 0

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

11 x = 0 - 6

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

11 x = - 6

Divide both sides

\frac{11 x}{11} = \frac{- 6}{11}

Divide the numbers

x = \frac{- 6}{11}

Solution

x = - \frac{6}{11}

Alternative Form

x = - 0. \dot{5} \dot{4}

Show Solution

Rewrite the equation

11 x = - 6

Evaluate

4 (x - 2) - 5 (2 - 3 x) = 4 (2 x - 6)

Evaluate

More Steps

Evaluate

4 (x - 2) - 5 (2 - 3 x)

Expand the expression

More Steps

Calculate

4 (x - 2)

Apply the distributive property

4 x - 4 \times 2

Multiply the numbers

4 x - 8

4 x - 8 - 5 (2 - 3 x)

Expand the expression

More Steps

Calculate

- 5 (2 - 3 x)

Apply the distributive property

- 5 \times 2 - (- 5 \times 3 x)

Multiply the numbers

- 10 - (- 5 \times 3 x)

Multiply the numbers

- 10 - (- 15 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

- 10 + 15 x

4 x - 8 - 10 + 15 x

Add the terms

More Steps

Evaluate

4 x + 15 x

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

(4 + 15) x

Add the numbers

19 x

19 x - 8 - 10

Subtract the numbers

19 x - 18

19 x - 18 = 4 (2 x - 6)

Multiply

More Steps

Evaluate

4 (2 x - 6)

Apply the distributive property

4 \times 2 x - 4 \times 6

Multiply the numbers

8 x - 4 \times 6

Multiply the numbers

8 x - 24

19 x - 18 = 8 x - 24

Move the variable to the left side

11 x - 18 = - 24

Solution

11 x = - 6

Show Solution

Solve the equation

Rewrite the equation

Graph