Answer :

Sure! Let's solve the equation step by step:

We are given the equation:

[tex]\[ 1(x - 2) + x = 51.7 \][/tex]

1. Distribute the 1:
Since multiplying by 1 doesn't change the value, the equation simplifies to:
[tex]\[ x - 2 + x = 51.7 \][/tex]

2. Combine like terms:
Combine the [tex]\( x \)[/tex] terms:
[tex]\[ 2x - 2 = 51.7 \][/tex]

3. Isolate the variable term:
Add 2 to both sides to eliminate the constant on the left side:
[tex]\[ 2x = 51.7 + 2 \][/tex]
[tex]\[ 2x = 53.7 \][/tex]

4. Solve for [tex]\( x \)[/tex]:
Divide both sides by 2 to solve for [tex]\( x \)[/tex]:
[tex]\[ x = \frac{53.7}{2} \][/tex]
[tex]\[ x = 26.85 \][/tex]

So, the value of [tex]\( x \)[/tex] is 26.85.