(2x+3)/4=(x+7)/3 Answer

2 min read Jun 16, 2024

Solving the Equation (2x+3)/4 = (x+7)/3

This article will guide you through the steps to solve the equation (2x+3)/4 = (x+7)/3.

Step 1: Cross-Multiplication

To eliminate the fractions, we can cross-multiply. This means multiplying the numerator of the left side by the denominator of the right side and vice versa.

(2x+3) * 3 = (x+7) * 4

Step 2: Expanding the Equation

Now, let's expand both sides of the equation by distributing the multiplication.

6x + 9 = 4x + 28

Step 3: Combining Like Terms

To isolate the 'x' term, we need to bring all 'x' terms to one side and all constant terms to the other. Subtract '4x' from both sides:

6x - 4x + 9 = 4x - 4x + 28 2x + 9 = 28

Then, subtract 9 from both sides:

2x + 9 - 9 = 28 - 9 2x = 19

Step 4: Solving for 'x'

Finally, divide both sides by 2 to solve for 'x':

2x / 2 = 19 / 2 x = 9.5

Solution

Therefore, the solution to the equation (2x+3)/4 = (x+7)/3 is x = 9.5.