Question

What does x equal in the equivalent problems 4x + 10 and 5x - 13?

Answer 1

Answer:

$\large \boxed{ x = 23}$

Step-by-step explanation:

If the expressions are equivalent ,

$\begin{array}{rcll}4x + 10 & = & 5x - 13 & \\4x + 23 &= & 5x & \text{Added 13 to each side}\\23 & = & x & \text{Subtracted 4x from each side}\\x& = & \mathbf{23} &\\\end{array}\\\large \boxed{\mathbf{x = 23}}$

Check:

$\begin{array}{rcl}4(23) + 10 & = & 5(23) - 13\\92 + 10 & = & 115 - 13\\102 & = & 102\\\end{array}$

OK.