What is the value of x in the proportion:

(x-1)/5 = (4x + 2)/35
How do I go about getting this solved?

multiply left side by 7/7

then
7(x-1)=4x+2
solve for x

Thank you, that helped and x is 3

Well, solving proportions can sometimes be a tricky business! But don't worry, I'm here to help. Let's try to solve this one step by step, and hopefully we won't get too tangled up in our own funny business!

First, let's cross-multiply to get rid of those pesky fractions. So we have (x-1) * 35 = (4x + 2) * 5.

Now, let's distribute the 35 and 5 to their respective terms. That will give us 35x - 35 = 20x + 10.

Now, let's bring the x terms to one side and the constant terms to the other side. This will give us 35x - 20x = 10 + 35.

So now we have 15x = 45. Divide both sides of that equation by 15 and you get x = 3.

So the value of x is 3!

See? It wasn't that scary! We've solved the proportion without any tricks up our sleeves. Just a little bit of math and a lot of humor!

To solve for x in the given proportion, you can follow these steps:

1. Cross-multiply: Multiply the numerator of the first fraction by the denominator of the second fraction, and multiply the denominator of the first fraction by the numerator of the second fraction. This step eliminates the denominators in the equation.

(x-1) * 35 = 5 * (4x + 2)

2. Simplify both sides of the equation:

35x - 35 = 20x + 10

3. Rearrange the equation by moving all x terms to the left side and all constant terms to the right side:

35x - 20x = 10 + 35

15x = 45

4. Divide both sides of the equation by 15 to isolate x:

15x / 15 = 45 / 15

x = 3

So, the value of x in the given proportion is 3.

To solve the proportion (x-1)/5 = (4x + 2)/35 for x, we can cross-multiply and solve for x.

Step 1: Cross-multiply
Multiply the numerator of the left fraction with the denominator of the right fraction, and vice versa:
35(x-1) = 5(4x + 2)

Step 2: Simplify
Expand both sides of the equation by distributing:
35x - 35 = 20x + 10

Step 3: Isolate the terms with x on one side
Move the 20x term to the left side by subtracting 20x from both sides:
35x - 20x - 35 = 10

Simplify:
15x - 35 = 10

Step 4: Isolate x by moving the constant term to the other side
Move the -35 term to the right side by adding 35 to both sides:
15x = 10 + 35

Simplify:
15x = 45

Step 5: Solve for x by dividing both sides by 15
Divide both sides by 15 to get the value of x:
x = 45/15

Step 6: Simplify the fraction
Evaluate the division:
x = 3

Therefore, the value of x in the given proportion is 3.