Solve -7-7(-x-1)=6-(-2x-3)

Question

Solve the equation

x = \frac{9}{5}

Alternative Form

x = 1.8

Evaluate

- 7 - 7 (- x - 1) = 6 - (- 2 x - 3)

Subtract the terms

More Steps

Evaluate

- 7 - 7 (- x - 1)

Rewrite the expression

- 7 + 7 x + 7

Since two opposites add up to 0,remove them form the expression

7 x

7 x = 6 - (- 2 x - 3)

Subtract the terms

More Steps

Evaluate

6 - (- 2 x - 3)

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

6 + 2 x + 3

Add the numbers

9 + 2 x

7 x = 9 + 2 x

Move the variable to the left side

7 x - 2 x = 9

Subtract the terms

More Steps

Evaluate

7 x - 2 x

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

(7 - 2) x

Subtract the numbers

5 x

5 x = 9

Divide both sides

\frac{5 x}{5} = \frac{9}{5}

Solution

x = \frac{9}{5}

Alternative Form

x = 1.8

Show Solution

Rewrite the equation

5 x = 9

Evaluate

- 7 - 7 (- x - 1) = 6 - (- 2 x - 3)

Evaluate

More Steps

Evaluate

- 7 - 7 (- x - 1)

Expand the expression

More Steps

Calculate

- 7 (- x - 1)

Apply the distributive property

- 7 (- x) - (- 7 \times 1)

Multiply the numbers

7 x - (- 7 \times 1)

Any expression multiplied by 1 remains the same

7 x - (- 7)

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 + 7

- 7 + 7 x + 7

Since two opposites add up to 0,remove them form the expression

7 x

7 x = 6 - (- 2 x - 3)

Evaluate

More Steps

Evaluate

6 - (- 2 x - 3)

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

6 + 2 x + 3

Add the numbers

9 + 2 x

7 x = 9 + 2 x

Solution

5 x = 9

Show Solution

Solve the equation

Rewrite the equation

Graph