Solve -8(-8x-6)=-6x-22

Question

Solve the equation

x = - 1

Evaluate

- 8 (- 8 x - 6) = - 6 x - 22

Expand the expression

More Steps

Evaluate

- 8 (- 8 x - 6)

Apply the distributive property

- 8 (- 8 x) - (- 8 \times 6)

Multiply the numbers

More Steps

Evaluate

- 8 (- 8)

Multiplying or dividing an even number of negative terms equals a positive

8 \times 8

Multiply the numbers

64

64 x - (- 8 \times 6)

Multiply the numbers

64 x - (- 48)

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

64 x + 48

64 x + 48 = - 6 x - 22

Move the expression to the left side

64 x + 48 + 6 x = - 22

Move the expression to the right side

64 x + 6 x = - 22 - 48

Add and subtract

More Steps

Evaluate

64 x + 6 x

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

(64 + 6) x

Add the numbers

70 x

70 x = - 22 - 48

Add and subtract

70 x = - 70

Divide both sides

\frac{70 x}{70} = \frac{- 70}{70}

Divide the numbers

x = \frac{- 70}{70}

Solution

More Steps

Evaluate

\frac{- 70}{70}

Reduce the numbers

\frac{- 1}{1}

Calculate

- 1

x = - 1

Show Solution

Rewrite the equation

x = - 1

Evaluate

- 8 (- 8 x - 6) = - 6 x - 22

Multiply

More Steps

Evaluate

- 8 (- 8 x - 6)

Apply the distributive property

- 8 (- 8 x) - (- 8 \times 6)

Multiply the numbers

More Steps

Evaluate

- 8 (- 8)

Multiplying or dividing an even number of negative terms equals a positive

8 \times 8

Multiply the numbers

64

64 x - (- 8 \times 6)

Multiply the numbers

64 x - (- 48)

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

64 x + 48

64 x + 48 = - 6 x - 22

Move the variable to the left side

70 x + 48 = - 22

Move the constant to the right side

70 x = - 70

Solution

x = - 1

Show Solution

Solve the equation

Rewrite the equation

Graph