Answer:
[tex]\large \boxed{ x = 23}[/tex]
Step-by-step explanation:
If the expressions are equivalent
,
[tex]\begin{array}{rcll}4x + 10 & = & 5x - 13 & \\4x + 23 &= & 5x & \text{Added 13 to each side}\\23 & = & x & \text{Subtracted 4x from each side}\\x& = & \mathbf{23} &\\\end{array}\\\large \boxed{\mathbf{x = 23}}[/tex]
Check:
[tex]\begin{array}{rcl}4(23) + 10 & = & 5(23) - 13\\92 + 10 & = & 115 - 13\\102 & = & 102\\\end{array}[/tex]
OK.
