Question

solve the 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?
step 2: combine like terms that are on the same side of the equation. which terms can be combined?

Explanation:

Step1: Identify distributive number

The coefficient $\frac{3}{5}$ is distributed across $(x-10)$.
$\frac{3}{5}(x-10) = \frac{3}{5}x - \frac{3}{5} \times 10 = \frac{3}{5}x - 6$

Step2: Identify like terms to combine

On the right side, constants $18$ and $-1$ are like terms.
$18 - 1 = 17$, so the equation becomes $\frac{3}{5}x - 6 = 17 - 4x$

Answer:

Step 1: The number to distribute is $\boldsymbol{\frac{3}{5}}$
Step 2: The terms to combine are $\boldsymbol{18}$ and $\boldsymbol{-1}$