Question

solve for ( x ). provide your answer in reduced fraction form, if applicable.
( \frac{3}{5}x + -8 = 9 )
( x = square )
( -\frac{2}{8}x + 4 = 5 )
( x = square )
question help: video 1 video 2 read 1

Explanation:

Step1: Isolate the x-term (1st eq)

Add 8 to both sides.
$$\frac{3}{5}x - 8 + 8 = 9 + 8$$
$$\frac{3}{5}x = 17$$

Step2: Solve for x (1st eq)

Multiply by $\frac{5}{3}$.
$$x = 17 \times \frac{5}{3}$$
$$x = \frac{85}{3}$$

Step3: Simplify coefficient (2nd eq)

Reduce $\frac{2}{8}$ to $\frac{1}{4}$.
$$-\frac{1}{4}x + 4 = 5$$

Step4: Isolate the x-term (2nd eq)

Subtract 4 from both sides.
$$-\frac{1}{4}x + 4 - 4 = 5 - 4$$
$$-\frac{1}{4}x = 1$$

Step5: Solve for x (2nd eq)

Multiply by -4.
$$x = 1 \times (-4)$$
$$x = -4$$

Answer:

For $\boldsymbol{\frac{3}{5}x - 8 = 9}$: $\boldsymbol{x = \frac{85}{3}}$
For $\boldsymbol{-\frac{2}{8}x + 4 = 5}$: $\boldsymbol{x = -4}$