Math

Question Solve the linear equation x3+10=15\frac{x}{3} + 10 = 15 for the value of xx.

Studdy Solution

STEP 1

Assumptions
1. We have the equation x3+10=15\frac{x}{3}+10=15.
2. We need to solve for xx.

STEP 2

First, we need to isolate the term containing xx on one side of the equation. To do this, we will subtract 10 from both sides of the equation to remove the constant term on the left side.
x3+1010=1510\frac{x}{3}+10-10=15-10

STEP 3

Perform the subtraction on both sides of the equation.
x3=5\frac{x}{3}=5

STEP 4

Now, we need to eliminate the fraction to solve for xx. We can do this by multiplying both sides of the equation by 3, which is the denominator of the fraction.
3×x3=5×33 \times \frac{x}{3} = 5 \times 3

STEP 5

Perform the multiplication on both sides of the equation.
x=15x = 15
The solution to the equation x3+10=15\frac{x}{3}+10=15 is x=15x = 15.

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