Question

solve 5x-17=2x-8 and verify

Answer 1

$5x-17 = 2x-8$
Transpose 2x to LHS and -17 to RHS. 
$5x-2x = -8+17$
Simplify
$3x = 9$
Divide both sides by 3. 
$\frac{3x}{3} = \frac{9}{3}$
Simplify
$x = 3$

CHECK
LHS = $5x-17 = 5(3)-17 = 15-17 = -2$
RHS = $2x-8 = 2(3)-8 = 6-8 = -2$
                            LHS = RHS
Hence, verified. 

Hope this may help you. 

Answer 2

Answer:

The solution for $5x-17=2x-8$ is 3 and also it satisfies the equation.

Step-by-step explanation:

In context to the question asked,

We have to find the solution of the equation and also verify it,

As per data given in the question,

We have,

$5x-17=2x-8$

Now, add both sides by 17:

=> $5x-17+17=2x-8+17$

Simplifying it further,

=> $5x=2x-8+17$

Add the numbers,

=> $5x=2x+9$

Subtract both sides by $2x$,

=> $5x-2x=2x+9-2x$

=> $3x = 9$

Divide both sides by 3,

=> $x = 3$

Verification:-

$5x-17=2x-8$

Now, substitute the value of $x$:

=> $5(3)-17=2(3) -8$

=> $15 - 17 = 6 - 8$

=> $-2 = -2$

LHS = RHS