Question

solve this equation: \\(\frac{3}{5}(x - 10) = 18 - 4x - 1\\)
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: adding 6
step 4: isolate the constant term by: adding 4x
step 5: to isolate x, multiply both sides by:

Explanation:

Step1: Simplify right side constants

$18 - 1 = 17$, so equation becomes $\frac{3}{5}(x - 10) = 17 - 4x$

Step2: Expand left side term

$\frac{3}{5}x - \frac{3}{5} \times 10 = \frac{3}{5}x - 6$, so $\frac{3}{5}x - 6 = 17 - 4x$

Step3: Add 6 to both sides

$\frac{3}{5}x - 6 + 6 = 17 - 4x + 6$ → $\frac{3}{5}x = 23 - 4x$

Step4: Add 4x to both sides

$\frac{3}{5}x + 4x = 23 - 4x + 4x$ → $\frac{3}{5}x + \frac{20}{5}x = 23$ → $\frac{23}{5}x = 23$

Step5: Multiply by reciprocal of $\frac{23}{5}$

Multiply both sides by $\frac{5}{23}$: $x = 23 \times \frac{5}{23}$

Answer:

$\frac{5}{23}$ (for the multiplier in Step 5), and the final solution for $x$ is $5$