Using the given equation:
[tex]\[ 130 + 56x = 214 \][/tex]
Let's go through the problem step by step:
Step 1: Isolate the variable term
To isolate the term [tex]\( 56x \)[/tex], we first need to remove the constant term on the left side of the equation. We do this by subtracting 130 from both sides of the equation.
[tex]\[ 130 + 56x - 130 = 214 - 130 \][/tex]
This simplifies to:
[tex]\[ 56x = 84 \][/tex]
Step 2: Solve for [tex]\( x \)[/tex]
To isolate [tex]\( x \)[/tex], we need to eliminate the coefficient 56 by dividing both sides of the equation by 56:
[tex]\[ \frac{56x}{56} = \frac{84}{56} \][/tex]
Simplifying the right side, we get:
[tex]\[ x = 1.5 \][/tex]
So, the plumber worked 1.5 hours.