Solve 17(2-x)-5(x+12)/1-7x=8

Question

Solve the equation

x = - \frac{34}{29}

Alternative Form

x \approx - 1.172414

Evaluate

17 (2 - x) - (5 \times \frac{x + 12}{1}) - 7 x = 8

Simplify

More Steps

Evaluate

17 (2 - x) - (5 \times \frac{x + 12}{1}) - 7 x

Divide the terms

17 (2 - x) - (5 (x + 12)) - 7 x

Multiply the terms

17 (2 - x) - 5 (x + 12) - 7 x

17 (2 - x) - 5 (x + 12) - 7 x = 8

Move the expression to the left side

17 (2 - x) - 5 (x + 12) - 7 x - 8 = 0

Calculate

More Steps

Evaluate

17 (2 - x) - 5 (x + 12) - 7 x - 8

Expand the expression

More Steps

Calculate

17 (2 - x)

Apply the distributive property

17 \times 2 - 17 x

Multiply the numbers

34 - 17 x

34 - 17 x - 5 (x + 12) - 7 x - 8

Expand the expression

More Steps

Calculate

- 5 (x + 12)

Apply the distributive property

- 5 x - 5 \times 12

Multiply the numbers

- 5 x - 60

34 - 17 x - 5 x - 60 - 7 x - 8

Subtract the numbers

- 34 - 17 x - 5 x - 7 x

Subtract the terms

More Steps

Evaluate

- 17 x - 5 x - 7 x

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

(- 17 - 5 - 7) x

Subtract the numbers

- 29 x

- 34 - 29 x

- 34 - 29 x = 0

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

- 29 x = 0 + 34

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

- 29 x = 34

Change the signs on both sides of the equation

29 x = - 34

Divide both sides

\frac{29 x}{29} = \frac{- 34}{29}

Divide the numbers

x = \frac{- 34}{29}

Solution

x = - \frac{34}{29}

Alternative Form

x \approx - 1.172414

Show Solution

Rewrite the equation

29 x = - 34

Evaluate

17 (2 - x) - (5 \times \frac{x + 12}{1}) - 7 x = 8

Evaluate

More Steps

Evaluate

17 (2 - x) - (5 \times \frac{x + 12}{1}) - 7 x

Divide the terms

17 (2 - x) - (5 (x + 12)) - 7 x

Multiply the terms

17 (2 - x) - 5 (x + 12) - 7 x

Expand the expression

More Steps

Calculate

17 (2 - x)

Apply the distributive property

17 \times 2 - 17 x

Multiply the numbers

34 - 17 x

34 - 17 x - 5 (x + 12) - 7 x

Expand the expression

More Steps

Calculate

5 (x + 12)

Apply the distributive property

5 x + 5 \times 12

Multiply the numbers

5 x + 60

34 - 17 x - (5 x + 60) - 7 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

34 - 17 x - 5 x - 60 - 7 x

Subtract the numbers

- 26 - 17 x - 5 x - 7 x

Subtract the terms

More Steps

Evaluate

- 17 x - 5 x - 7 x

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

(- 17 - 5 - 7) x

Subtract the numbers

- 29 x

- 26 - 29 x

- 26 - 29 x = 8

Move the constant to the right side

- 29 x = 34

Solution

29 x = - 34

Show Solution

Solve the equation

Rewrite the equation

Graph