\text{Solve for }b of –8+2(2b–3)=–6+10b–8b

Question :

–8+2(2b–3)=–6+10b–8b

Solve the equation

b = 4

Evaluate

- 8 + 2 (2 b - 3) = - 6 + 10 b - 8 b

Subtract the terms

More Steps

Evaluate

10 b - 8 b

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

(10 - 8) b

Subtract the numbers

2 b

- 8 + 2 (2 b - 3) = - 6 + 2 b

Move the expression to the left side

- 8 + 2 (2 b - 3) - (- 6 + 2 b) = 0

Calculate the sum or difference

More Steps

Evaluate

- 8 + 2 (2 b - 3) - (- 6 + 2 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

- 8 + 2 (2 b - 3) + 6 - 2 b

Add the numbers

- 2 + 2 (2 b - 3) - 2 b

- 2 + 2 (2 b - 3) - 2 b = 0

Calculate the sum or difference

More Steps

Evaluate

- 2 + 2 (2 b - 3) - 2 b

Expand the expression

More Steps

Calculate

2 (2 b - 3)

Apply the distributive property

2 \times 2 b - 2 \times 3

Multiply the numbers

4 b - 2 \times 3

Multiply the numbers

4 b - 6

- 2 + 4 b - 6 - 2 b

Subtract the numbers

- 8 + 4 b - 2 b

Subtract the terms

More Steps

Evaluate

4 b - 2 b

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

(4 - 2) b

Subtract the numbers

2 b

- 8 + 2 b

- 8 + 2 b = 0

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

2 b = 0 + 8

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

2 b = 8

Divide both sides

\frac{2 b}{2} = \frac{8}{2}

Divide the numbers

b = \frac{8}{2}

Solution

More Steps

Evaluate

\frac{8}{2}

Reduce the numbers

\frac{4}{1}

Calculate

4

b = 4

Show Solution

–8+2(2b–3)=–6+10b–8b

Solve the equation

Graph

Frequently Asked Questions

$Solve for b$ of \(–8+2(2b–3)=–6+10b–8b\)

–8+2(2b–3)=–6+10b–8b

Solve the equation

Graph

Frequently Asked Questions

Solve for b of \(–8+2(2b–3)=–6+10b–8b\)

$Solve for b$ of \(–8+2(2b–3)=–6+10b–8b\)