Question

solve this equation: \\(\frac{3}{5}(x - 10) = 18 - 4x - 1\\)\
step 1: simplify using the distributive property.\
which number can be distributed across two terms\
inside parentheses? \\(3/5\\)\
step 2: combine like terms that are on the same side of the\
equation. which terms can be combined?\
\\(18\\) and \\(-1\\)\
step 3: both sides of the equation contain a variable term.\
you can isolate the variable term on either the left or\
right side of the equation. isolate the variable term\
by:

Explanation:

Step1: Distribute $\frac{3}{5}$ to parentheses

$\frac{3}{5}(x - 10) = \frac{3}{5}x - 6$
Equation becomes: $\frac{3}{5}x - 6 = 18 - 4x - 1$

Step2: Combine constant terms on right

$18 - 1 = 17$
Equation becomes: $\frac{3}{5}x - 6 = 17 - 4x$

Step3: Add $4x$ to both sides

$\frac{3}{5}x + 4x - 6 = 17$
$\frac{3}{5}x + \frac{20}{5}x = \frac{23}{5}x$, so: $\frac{23}{5}x - 6 = 17$

Step4: Add 6 to both sides

$\frac{23}{5}x = 17 + 6$
$\frac{23}{5}x = 23$

Step5: Solve for $x$

$x = 23 \times \frac{5}{23}$

Answer:

$x = 5$

(Note: For Step 3 of the original prompt's dropdown, the action is "Adding $4x$ to both sides" to isolate variable terms on one side)