Question

Solve the following linear equation.

Round to two decimal places if necessary.
17.5 + 4x = -6.5(3x - 6)

Answer 1

x=21.5/23.5

Explanation:

Step 1: Simplify both sides of the equation.

17.5+4x=−6.5(3x−6)

17.5+4x=(−6.5)(3x)+(−6.5)(−6)(Distribute)

17.5+4x=−19.5x+39

4x+17.5=−19.5x+39

Step 2: Add 19.5x to both sides.

4x+17.5+19.5x=−19.5x+39+19.5x

23.5x+17.5=39

Step 3: Subtract 17.5 from both sides.

23.5x+17.5−17.5=39−17.5

23.5x=21.5

Step 4: Divide both sides by 23.5.

23.5x

23.5

=

21.5

23.5