Question

Solve the following equation and check your results: $2x-1=14-x$

Answer 1

Step 1: Calculate the value of $x$.

Cross multiply the terms, take the similar terms on one side and then calculate the value of $x$.

Therefore,

$\begin{array}{c}2x-1=14-x\\ 2x+x=14+1\\ 3x=15\\ x=\frac{15}{3}\\ x=5\end{array}$

Step 2: Verify the equation for $x=5$.

Apply $x=5$in the equation $2x-1=14-x$.

Solve LHS.

$\begin{array}{c}2\left(5\right)-1=10-1\\ =9\end{array}$

Solve RHS.

$14-5=9$

Therefore, LHS is equal to RHS.

Hence, the value of $x$is verified for the equation $2x-1=14-x$.