Certainly! Let's solve this step-by-step.
We are given the equation:
[tex]\[ 130 + 56x = 214 \][/tex]
Step 1: Isolate the variable term.
To isolate the variable [tex]\(x\)[/tex], we need to eliminate the constant term on the left side. We'll do this by performing the subtraction property of equality.
Which value do we need to subtract? We need to subtract 130 from both sides of the equation to get rid of the constant term on the left side.
[tex]\[ 130 + 56x - 130 = 214 - 130 \][/tex]
Simplifying both sides:
[tex]\[ 56x = 84 \][/tex]
Step 2: Solve for the variable [tex]\(x\)[/tex].
Now we have the simplified equation:
[tex]\[ 56x = 84 \][/tex]
To solve for [tex]\(x\)[/tex], we need to divide both sides of the equation by 56.
[tex]\[ x = \frac{84}{56} \][/tex]
After performing the division:
[tex]\[ x = 1.5 \][/tex]
So, the plumber worked for 1.5 hours.
