Solve 6x-8(-79x)=-2x-8

Question

Solve the equation

x = - \frac{1}{80}

Alternative Form

x = - 0.0125

Evaluate

6 x - 8 (- 79 x) = - 2 x - 8

Simplify

More Steps

Evaluate

6 x - 8 (- 79 x)

Multiply the numbers

More Steps

Evaluate

8 (- 79)

Multiplying or dividing an odd number of negative terms equals a negative

- 8 \times 79

Multiply the numbers

- 632

6 x - (- 632 x)

Rewrite the expression

6 x + 632 x

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

(6 + 632) x

Add the numbers

638 x

638 x = - 2 x - 8

Move the variable to the left side

638 x + 2 x = - 8

Add the terms

More Steps

Evaluate

638 x + 2 x

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

(638 + 2) x

Add the numbers

640 x

640 x = - 8

Divide both sides

\frac{640 x}{640} = \frac{- 8}{640}

Divide the numbers

x = \frac{- 8}{640}

Solution

More Steps

Evaluate

\frac{- 8}{640}

Cancel out the common factor 8

\frac{- 1}{80}

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

- \frac{1}{80}

x = - \frac{1}{80}

Alternative Form

x = - 0.0125

Show Solution

80 x = - 1

Evaluate

6 x - 8 (- 79 x) = - 2 x - 8

Evaluate

More Steps

Evaluate

6 x - 8 (- 79 x)

Multiply the numbers

More Steps

Evaluate

8 (- 79)

Multiplying or dividing an odd number of negative terms equals a negative

- 8 \times 79

Multiply the numbers

- 632

6 x - (- 632 x)

Rewrite the expression

6 x + 632 x

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

(6 + 632) x

Add the numbers

638 x

638 x = - 2 x - 8

Move the variable to the left side

640 x = - 8

Solution

80 x = - 1

Show Solution