Solve -2(3x-5)=4(x+3)+8

Question

Solve the equation

Solve for x

x = - 1

Evaluate

- 2 (3 x - 5) = 4 (x + 3) + 8

Calculate

More Steps

Evaluate

- 2 (3 x - 5)

Apply the distributive property

- 2 \times 3 x - (- 2 \times 5)

Multiply the numbers

- 6 x - (- 2 \times 5)

Multiply the numbers

- 6 x - (- 10)

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

- 6 x + 10

- 6 x + 10 = 4 (x + 3) + 8

Calculate

More Steps

Evaluate

4 (x + 3) + 8

Expand the expression

More Steps

Calculate

4 (x + 3)

Apply the distributive property

4 x + 4 \times 3

Multiply the numbers

4 x + 12

4 x + 12 + 8

Add the numbers

4 x + 20

- 6 x + 10 = 4 x + 20

Move the expression to the left side

- 6 x + 10 - (4 x + 20) = 0

Calculate the sum or difference

More Steps

Add the terms

- 6 x + 10 - (4 x + 20)

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

- 6 x + 10 - 4 x - 20

Subtract the terms

More Steps

Evaluate

- 6 x - 4 x

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

(- 6 - 4) x

Subtract the numbers

- 10 x

- 10 x + 10 - 20

Subtract the numbers

- 10 x - 10

- 10 x - 10 = 0

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

- 10 x = 0 + 10

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

- 10 x = 10

Change the signs on both sides of the equation

10 x = - 10

Divide both sides

\frac{10 x}{10} = \frac{- 10}{10}

Divide the numbers

x = \frac{- 10}{10}

Solution

x = - 1

Show Solution

Rewrite the equation

Rewrite in standard form

x = - 1

Evaluate

- 2 (3 x - 5) = 4 (x + 3) + 8

Evaluate

More Steps

Evaluate

4 (x + 3) + 8

Expand the expression

More Steps

Calculate

4 (x + 3)

Apply the distributive property

4 x + 4 \times 3

Multiply the numbers

4 x + 12

4 x + 12 + 8

Add the numbers

4 x + 20

- 2 (3 x - 5) = 4 x + 20

Multiply

More Steps

Evaluate

- 2 (3 x - 5)

Apply the distributive property

- 2 \times 3 x - (- 2 \times 5)

Multiply the numbers

- 6 x - (- 2 \times 5)

Multiply the numbers

- 6 x - (- 10)

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

- 6 x + 10

- 6 x + 10 = 4 x + 20

Move the variable to the left side

- 10 x + 10 = 20

Move the constant to the right side

- 10 x = 10

Multiply both sides

10 x = - 10

Solution

x = - 1

Show Solution

2(3x 5)=4(x+3)+8

Solve the equation

Rewrite the equation

Graph