Solve -7x=13-2(8x-7)

Question

Solve the equation

x = 3

Evaluate

- 7 x = 13 - 2 (8 x - 7)

Move the expression to the left side

- 7 x - (13 - 2 (8 x - 7)) = 0

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

- 7 x - 13 + 2 (8 x - 7) = 0

Calculate the sum or difference

More Steps

Evaluate

- 7 x - 13 + 2 (8 x - 7)

Expand the expression

More Steps

Calculate

2 (8 x - 7)

Apply the distributive property

2 \times 8 x - 2 \times 7

Multiply the numbers

16 x - 2 \times 7

Multiply the numbers

16 x - 14

- 7 x - 13 + 16 x - 14

Add the terms

More Steps

Evaluate

- 7 x + 16 x

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

(- 7 + 16) x

Add the numbers

9 x

9 x - 13 - 14

Subtract the numbers

9 x - 27

9 x - 27 = 0

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

9 x = 0 + 27

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

9 x = 27

Divide both sides

\frac{9 x}{9} = \frac{27}{9}

Divide the numbers

x = \frac{27}{9}

Solution

More Steps

Evaluate

\frac{27}{9}

Reduce the numbers

\frac{3}{1}

Calculate

3

x = 3

Show Solution

Rewrite the equation

x = 3

Evaluate

- 7 x = 13 - 2 (8 x - 7)

Evaluate

More Steps

Evaluate

13 - 2 (8 x - 7)

Expand the expression

More Steps

Calculate

- 2 (8 x - 7)

Apply the distributive property

- 2 \times 8 x - (- 2 \times 7)

Multiply the numbers

- 16 x - (- 2 \times 7)

Multiply the numbers

- 16 x - (- 14)

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

- 16 x + 14

13 - 16 x + 14

Add the numbers

27 - 16 x

- 7 x = 27 - 16 x

Move the variable to the left side

9 x = 27

Solution

x = 3

Show Solution

Solve the equation

Rewrite the equation

Graph