Math

Question Solve linear equation x32=6\frac{x-3}{2}=6

Studdy Solution

STEP 1

Assumptions
1. We are solving the equation for the variable xx.

STEP 2

The equation is x32=6\frac{x-3}{2}=6. The first step is to isolate the term with xx by multiplying both sides of the equation by 2.
2×x32=2×62 \times \frac{x-3}{2} = 2 \times 6

STEP 3

Simplify the equation. The multiplication of 2 on the left side cancels out the denominator of 2, leaving x3x-3.
x3=2×6x - 3 = 2 \times 6

STEP 4

Calculate the right side of the equation.
x3=12x - 3 = 12

STEP 5

Now, we need to isolate xx. We can do this by adding 3 to both sides of the equation.
x3+3=12+3x - 3 + 3 = 12 + 3

STEP 6

Simplify the equation. The subtraction of 3 and addition of 3 on the left side cancel out, leaving xx.
x=12+3x = 12 + 3

STEP 7

Calculate the right side of the equation.
x=15x = 15
So, the solution to the equation x32=6\frac{x-3}{2}=6 is x=15x = 15.

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