Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

step 1: subtract $\boldsymbol{square}$ from both sides of the equation.…

Question

step 1: subtract $\boldsymbol{square}$ from both sides of the equation.
$a - bx = cx + d$
check

Explanation:

Step1: Isolate constant on left side

Subtract $d$ from both sides:
$$a - bx - d = cx + d - d$$
$$a - d - bx = cx$$
Alternative Step1 (isolate $x$ terms on right):
Subtract $a$ from both sides:
$$a - bx - a = cx + d - a$$
$$-bx = cx + d - a$$

Step2: (Clarification of goal)

The standard first step to solve for $x$ is to group constants on one side and $x$-terms on the other. The most logical first step is removing the constant $d$ from the right, or $a$ from the left.

Answer:

The value to subtract is $\boldsymbol{d}$ (or $\boldsymbol{a}$; the most standard choice is $\boldsymbol{d}$ to isolate $x$-terms on the right after simplification).

If following the standard process to solve for $x$:
After subtracting $d$, we proceed to collect $x$-terms:
$$a - d = cx + bx$$
$$a - d = x(b + c)$$
$$x = \frac{a - d}{b + c}$$