QuestionSolve the equation: $\frac{1}{4}(x-3)=\frac{1}{2}$ .

Studdy Solution

STEP 1

Assumptions1. The equation is $\frac{1}{4}(x-3)=\frac{1}{}$

STEP 2

First, we need to get rid of the fraction on the left side of the equation. We can do this by multiplying both sides of the equation by4.
$4 \times \frac{1}{4}(x-) =4 \times \frac{1}{2}$

STEP 3

Now, simplify both sides of the equation.
$x-3 =2$

STEP 4

Next, we need to isolate x. We can do this by adding3 to both sides of the equation.
$x-3+3 =2+3$

STEP 5

Finally, simplify both sides of the equation to find the value of x.
$x =5$ So, the solution to the equation is x =5.

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QuestionSolve the equation: $\frac{1}{4}(x-3)=\frac{1}{2}$ .

Studdy Solution

STEP 1

Assumptions1. The equation is $\frac{1}{4}(x-3)=\frac{1}{}$

STEP 2

First, we need to get rid of the fraction on the left side of the equation. We can do this by multiplying both sides of the equation by4.
$4 \times \frac{1}{4}(x-) =4 \times \frac{1}{2}$

STEP 3

Now, simplify both sides of the equation.
$x-3 =2$

STEP 4

Next, we need to isolate x. We can do this by adding3 to both sides of the equation.
$x-3+3 =2+3$

STEP 5

Finally, simplify both sides of the equation to find the value of x.
$x =5$ So, the solution to the equation is x =5.

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QuestionSolve the equation: 14(x−3)=12\frac{1}{4}(x-3)=\frac{1}{2}41​(x−3)=21​.

Studdy Solution

STEP 1

Assumptions1. The equation is 14(x−3)=1\frac{1}{4}(x-3)=\frac{1}{}41​(x−3)=1​

STEP 2

First, we need to get rid of the fraction on the left side of the equation. We can do this by multiplying both sides of the equation by4.4×14(x−)=4×124 \times \frac{1}{4}(x-) =4 \times \frac{1}{2}4×41​(x−)=4×21​

STEP 3

Now, simplify both sides of the equation.x−3=2x-3 =2x−3=2

STEP 4

Next, we need to isolate x. We can do this by adding3 to both sides of the equation.x−3+3=2+3x-3+3 =2+3x−3+3=2+3

STEP 5

Finally, simplify both sides of the equation to find the value of x.x=5x =5x=5So, the solution to the equation is x =5.

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Studdy solves anything!

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QuestionSolve the equation: $\frac{1}{4}(x-3)=\frac{1}{2}$ .

Assumptions1. The equation is $\frac{1}{4}(x-3)=\frac{1}{}$

First, we need to get rid of the fraction on the left side of the equation. We can do this by multiplying both sides of the equation by4.
$4 \times \frac{1}{4}(x-) =4 \times \frac{1}{2}$

Now, simplify both sides of the equation.
$x-3 =2$

Next, we need to isolate x. We can do this by adding3 to both sides of the equation.
$x-3+3 =2+3$

Finally, simplify both sides of the equation to find the value of x.
$x =5$ So, the solution to the equation is x =5.