Question

simplefiy completley

3(4x+1)=10x

Answer 1

try again make the number

Answer 2

To simplify the equation \(3(4x + 1) = 10x\), follow these steps:

1. Distribute the 3 on the left side:
\[
3 \cdot 4x + 3 \cdot 1 = 12x + 3
\]
So the equation becomes:
\[
12x + 3 = 10x
\]

2. Next, isolate \(x\) by moving the terms involving \(x\) to one side of the equation. Subtract \(10x\) from both sides:
\[
12x - 10x + 3 = 0
\]
This simplifies to:
\[
2x + 3 = 0
\]

3. Now, isolate \(2x\) by subtracting 3 from both sides:
\[
2x = -3
\]

4. Finally, divide both sides by 2 to solve for \(x\):
\[
x = -\frac{3}{2}
\]

Thus, the solution to the equation is:
\[
x = -\frac{3}{2}
\]

Answer 3

To simplify the equation \(3(4x + 1) = 10x\), let's go through the steps with an emphasis on creating a numerical solution:

1. **Distribute** the 3 on the left side:
\[
3 \cdot 4x + 3 \cdot 1 = 12x + 3
\]
So the equation becomes:
\[
12x + 3 = 10x
\]

2. **Isolate** the \(x\) terms. First, subtract \(10x\) from both sides:
\[
12x + 3 - 10x = 0
\]
This simplifies to:
\[
2x + 3 = 0
\]

3. Next, isolate \(2x\) by subtracting 3 from both sides:
\[
2x = -3
\]

4. Finally, divide both sides by 2 to solve for \(x\):
\[
x = -\frac{3}{2}
\]

Now, if you want to express \(-\frac{3}{2}\) as a decimal, it is:
\[
x = -1.5
\]

So the solution to the equation is:
\[
x = -1.5
\]