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

Question

Simplify the expression

5 x - 19

Evaluate

3 (2 x - 4) - 7 - x

Expand the expression

More Steps

Calculate

3 (2 x - 4)

Apply the distributive property

3 \times 2 x - 3 \times 4

Multiply the numbers

6 x - 3 \times 4

Multiply the numbers

6 x - 12

6 x - 12 - 7 - x

Subtract the terms

More Steps

Evaluate

6 x - x

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

(6 - 1) x

Subtract the numbers

5 x

5 x - 12 - 7

Solution

5 x - 19

Show Solution

x = \frac{19}{5}

Alternative Form

x = 3.8

Evaluate

3 (2 x - 4) - 7 - x

To find the roots of the expression,set the expression equal to 0

3 (2 x - 4) - 7 - x = 0

Subtract the terms

More Steps

Simplify

3 (2 x - 4) - 7

Expand the expression

More Steps

Calculate

3 (2 x - 4)

Apply the distributive property

3 \times 2 x - 3 \times 4

Multiply the numbers

6 x - 3 \times 4

Multiply the numbers

6 x - 12

6 x - 12 - 7

Subtract the numbers

6 x - 19

6 x - 19 - x = 0

Subtract the terms

More Steps

Simplify

6 x - 19 - x

Subtract the terms

More Steps

Evaluate

6 x - x

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

(6 - 1) x

Subtract the numbers

5 x

5 x - 19

5 x - 19 = 0

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

5 x = 0 + 19

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

5 x = 19

Divide both sides

\frac{5 x}{5} = \frac{19}{5}

Solution

x = \frac{19}{5}

Alternative Form

x = 3.8

Show Solution