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

Need to find a variable.
$ax+5=6x+3$
solve for x
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Caren
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,
$-ax+ax+2=6x-ax$
$6x-ax=2$
$\left(6-a\right)x=2$
$x=\frac{2}{6-a}$
Where $a\ne 6$ because at $a=6$ the value of x is not defined.