Solve x-3(-7/2)=13

Question

Solve the equation

x = \frac{5}{2}

Alternative Form

x = 2.5

Evaluate

x - 3 (- \frac{7}{2}) = 13

Simplify

More Steps

Evaluate

x - 3 (- \frac{7}{2})

Multiply the numbers

More Steps

Evaluate

3 (- \frac{7}{2})

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

- 3 \times \frac{7}{2}

Multiply the numbers

- \frac{3 \times 7}{2}

Multiply the numbers

- \frac{21}{2}

x - (- \frac{21}{2})

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

x + \frac{21}{2}

x + \frac{21}{2} = 13

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

x = 13 - \frac{21}{2}

Solution

More Steps

Evaluate

13 - \frac{21}{2}

Reduce fractions to a common denominator

\frac{13 \times 2}{2} - \frac{21}{2}

Write all numerators above the common denominator

\frac{13 \times 2 - 21}{2}

Multiply the numbers

\frac{26 - 21}{2}

Subtract the numbers

\frac{5}{2}

x = \frac{5}{2}

Alternative Form

x = 2.5

Show Solution

Rewrite the equation

2 x = 5

Evaluate

x - 3 (- \frac{7}{2}) = 13

Evaluate

More Steps

Evaluate

x - 3 (- \frac{7}{2})

Multiply the numbers

More Steps

Evaluate

3 (- \frac{7}{2})

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

- 3 \times \frac{7}{2}

Multiply the numbers

- \frac{3 \times 7}{2}

Multiply the numbers

- \frac{21}{2}

x - (- \frac{21}{2})

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

x + \frac{21}{2}

x + \frac{21}{2} = 13

Multiply both sides of the equation by LCD

2 x + 21 = 26

Solution

2 x = 5

Show Solution

Solve the equation

Rewrite the equation

Graph