Solve 7(-2v-8)=2(2v-19)

Question

Solve the equation

v = - 1

Evaluate

7 (- 2 v - 8) = 2 (2 v - 19)

Calculate

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Evaluate

7 (- 2 v - 8)

Apply the distributive property

7 (- 2 v) - 7 \times 8

Multiply the numbers

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Evaluate

7 (- 2)

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

- 7 \times 2

Multiply the numbers

- 14

- 14 v - 7 \times 8

Multiply the numbers

- 14 v - 56

- 14 v - 56 = 2 (2 v - 19)

Calculate

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Evaluate

2 (2 v - 19)

Apply the distributive property

2 \times 2 v - 2 \times 19

Multiply the numbers

4 v - 2 \times 19

Multiply the numbers

4 v - 38

- 14 v - 56 = 4 v - 38

Move the expression to the left side

- 14 v - 56 - (4 v - 38) = 0

Calculate

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Add the terms

- 14 v - 56 - (4 v - 38)

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

- 14 v - 56 - 4 v + 38

Subtract the terms

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Evaluate

- 14 v - 4 v

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

(- 14 - 4) v

Subtract the numbers

- 18 v

- 18 v - 56 + 38

Add the numbers

- 18 v - 18

- 18 v - 18 = 0

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

- 18 v = 0 + 18

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

- 18 v = 18

Change the signs on both sides of the equation

18 v = - 18

Divide both sides

\frac{18 v}{18} = \frac{- 18}{18}

Divide the numbers

v = \frac{- 18}{18}

Solution

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Evaluate

\frac{- 18}{18}

Reduce the numbers

\frac{- 1}{1}

Calculate

- 1

v = - 1

Show Solution

Solve the equation

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