Solve 7x-(3x-11)=5

Question

Solve the equation

x = - \frac{3}{2}

Alternative Form

x = - 1.5

Evaluate

7 x - (3 x - 11) = 5

Subtract the terms

More Steps

Evaluate

7 x - (3 x - 11)

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 - 3 x + 11

Subtract the terms

More Steps

Evaluate

7 x - 3 x

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

(7 - 3) x

Subtract the numbers

4 x

4 x + 11

4 x + 11 = 5

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

4 x = 5 - 11

Subtract the numbers

4 x = - 6

Divide both sides

\frac{4 x}{4} = \frac{- 6}{4}

Divide the numbers

x = \frac{- 6}{4}

Solution

More Steps

Evaluate

\frac{- 6}{4}

Cancel out the common factor 2

\frac{- 3}{2}

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

- \frac{3}{2}

x = - \frac{3}{2}

Alternative Form

x = - 1.5

Show Solution

Rewrite the equation

2 x = - 3

Evaluate

7 x - (3 x - 11) = 5

Evaluate

More Steps

Evaluate

7 x - (3 x - 11)

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 - 3 x + 11

Subtract the terms

More Steps

Evaluate

7 x - 3 x

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

(7 - 3) x

Subtract the numbers

4 x

4 x + 11

4 x + 11 = 5

Move the constant to the right side

4 x = - 6

Solution

2 x = - 3

Show Solution

Solve the equation

Rewrite the equation

Graph