Math

Question Solve for xx in the equation 78=x47 \cdot 8 = x - 4.

Studdy Solution

STEP 1

Assumptions
1. We are given the equation 78=x47 \cdot 8 = x - 4.
2. We need to solve for the variable xx.

STEP 2

First, we need to calculate the product of 7 and 8.
787 \cdot 8

STEP 3

Calculate the product.
78=567 \cdot 8 = 56

STEP 4

Now we have the equation with the product calculated.
56=x456 = x - 4

STEP 5

To solve for xx, we need to isolate xx on one side of the equation. We can do this by adding 4 to both sides of the equation.
56+4=x4+456 + 4 = x - 4 + 4

STEP 6

Calculate the sum on the left side of the equation.
56+4=6056 + 4 = 60

STEP 7

Now that we have added 4 to both sides, the equation simplifies to:
60=x60 = x

STEP 8

We have found the value of xx.
x=60x = 60
The solution to the equation 78=x47 \cdot 8 = x - 4 is x=60x = 60.

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