Question

# Need to find a variable. ax+5=6x+3 solve for x

Upper level algebra
Need to find a variable.
$$ax+5=6x+3$$
solve for x

2020-10-29
Step 1
Consider the given linear equation,
$$ax+5-3=6x+3-3$$
$$ax+2=6x$$
Step 2
Now, add −ax both side of the equation and solve for x,
$$-ax+ax+2=6x-ax$$
$$6x-ax=2$$
$$(6-a)x=2$$
$$x=\frac{2}{6-a}$$
Where $$a\neq 6$$ because at $$a = 6$$ the value of x is not defined.