Solve -6(4-3x) - 7x = -2(2-3x)

Question

Solve the equation

x = 4

Evaluate

- 6 (4 - 3 x) - 7 x = - 2 (2 - 3 x)

Calculate

More Steps

Evaluate

- 6 (4 - 3 x) - 7 x

Expand the expression

More Steps

Calculate

- 6 (4 - 3 x)

Apply the distributive property

- 6 \times 4 - (- 6 \times 3 x)

Multiply the numbers

- 24 - (- 6 \times 3 x)

Multiply the numbers

- 24 - (- 18 x)

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

- 24 + 18 x

- 24 + 18 x - 7 x

Subtract the terms

More Steps

Evaluate

18 x - 7 x

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

(18 - 7) x

Subtract the numbers

11 x

- 24 + 11 x

- 24 + 11 x = - 2 (2 - 3 x)

Calculate

More Steps

Evaluate

- 2 (2 - 3 x)

Apply the distributive property

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

Multiply the numbers

- 4 - (- 2 \times 3 x)

Multiply the numbers

- 4 - (- 6 x)

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 + 6 x

- 24 + 11 x = - 4 + 6 x

Move the expression to the left side

- 24 + 11 x - (- 4 + 6 x) = 0

Calculate the sum or difference

More Steps

Add the terms

- 24 + 11 x - (- 4 + 6 x)

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

- 24 + 11 x + 4 - 6 x

Add the numbers

- 20 + 11 x - 6 x

Subtract the terms

More Steps

Evaluate

11 x - 6 x

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

(11 - 6) x

Subtract the numbers

5 x

- 20 + 5 x

- 20 + 5 x = 0

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

5 x = 0 + 20

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

5 x = 20

Divide both sides

\frac{5 x}{5} = \frac{20}{5}

Divide the numbers

x = \frac{20}{5}

Solution

More Steps

Evaluate

\frac{20}{5}

Reduce the numbers

\frac{4}{1}

Calculate

4

x = 4

Show Solution

Rewrite the equation

x = 4

Evaluate

- 6 (4 - 3 x) - 7 x = - 2 (2 - 3 x)

Evaluate

More Steps

Evaluate

- 6 (4 - 3 x) - 7 x

Expand the expression

More Steps

Calculate

- 6 (4 - 3 x)

Apply the distributive property

- 6 \times 4 - (- 6 \times 3 x)

Multiply the numbers

- 24 - (- 6 \times 3 x)

Multiply the numbers

- 24 - (- 18 x)

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

- 24 + 18 x

- 24 + 18 x - 7 x

Subtract the terms

More Steps

Evaluate

18 x - 7 x

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

(18 - 7) x

Subtract the numbers

11 x

- 24 + 11 x

- 24 + 11 x = - 2 (2 - 3 x)

Multiply

More Steps

Evaluate

- 2 (2 - 3 x)

Apply the distributive property

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

Multiply the numbers

- 4 - (- 2 \times 3 x)

Multiply the numbers

- 4 - (- 6 x)

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 + 6 x

- 24 + 11 x = - 4 + 6 x

Move the variable to the left side

- 24 + 5 x = - 4

Move the constant to the right side

5 x = 20

Solution

x = 4

Show Solution

Solve the equation

Rewrite the equation

Graph