Solve 5(2p-6)=-4(p-3)

Question

Solve the equation

p = 3

Evaluate

5 (2 p - 6) = - 4 (p - 3)

Calculate

More Steps

Evaluate

5 (2 p - 6)

Apply the distributive property

5 \times 2 p - 5 \times 6

Multiply the numbers

10 p - 5 \times 6

Multiply the numbers

10 p - 30

10 p - 30 = - 4 (p - 3)

Calculate

More Steps

Evaluate

- 4 (p - 3)

Apply the distributive property

- 4 p - (- 4 \times 3)

Multiply the numbers

- 4 p - (- 12)

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

- 4 p + 12

10 p - 30 = - 4 p + 12

Move the expression to the left side

10 p - 30 - (- 4 p + 12) = 0

Calculate

More Steps

Add the terms

10 p - 30 - (- 4 p + 12)

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

10 p - 30 + 4 p - 12

Add the terms

More Steps

Evaluate

10 p + 4 p

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

(10 + 4) p

Add the numbers

14 p

14 p - 30 - 12

Subtract the numbers

14 p - 42

14 p - 42 = 0

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

14 p = 0 + 42

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

14 p = 42

Divide both sides

\frac{14 p}{14} = \frac{42}{14}

Divide the numbers

p = \frac{42}{14}

Solution

More Steps

Evaluate

\frac{42}{14}

Reduce the numbers

\frac{3}{1}

Calculate

3

p = 3

Show Solution

Solve the equation

Graph