Solve -4(3-2b)=5(b-3)

Question

Solve the equation

b = - 1

Evaluate

- 4 (3 - 2 b) = 5 (b - 3)

Calculate

More Steps

Evaluate

- 4 (3 - 2 b)

Apply the distributive property

- 4 \times 3 - (- 4 \times 2 b)

Multiply the numbers

- 12 - (- 4 \times 2 b)

Multiply the numbers

- 12 - (- 8 b)

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

- 12 + 8 b

- 12 + 8 b = 5 (b - 3)

Calculate

More Steps

Evaluate

5 (b - 3)

Apply the distributive property

5 b - 5 \times 3

Multiply the numbers

5 b - 15

- 12 + 8 b = 5 b - 15

Move the expression to the left side

- 12 + 8 b - (5 b - 15) = 0

Calculate the sum or difference

More Steps

Add the terms

- 12 + 8 b - (5 b - 15)

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

- 12 + 8 b - 5 b + 15

Add the numbers

3 + 8 b - 5 b

Subtract the terms

More Steps

Evaluate

8 b - 5 b

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

(8 - 5) b

Subtract the numbers

3 b

3 + 3 b

3 + 3 b = 0

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

3 b = 0 - 3

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

3 b = - 3

Divide both sides

\frac{3 b}{3} = \frac{- 3}{3}

Divide the numbers

b = \frac{- 3}{3}

Solution

More Steps

Evaluate

\frac{- 3}{3}

Reduce the numbers

\frac{- 1}{1}

Calculate

- 1

b = - 1

Show Solution

Solve the equation

Graph