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5(2x + 3) = 7x - 3

x = 5

x = 6

x = -5

x = -6

3 answers

To solve the equation \( 5(2x + 3) = 7x - 3 \), let's first distribute the 5 on the left side:

\[ 5 \cdot 2x + 5 \cdot 3 = 7x - 3 \]

This simplifies to:

\[ 10x + 15 = 7x - 3 \]

Next, we'll isolate \( x \). Start by subtracting \( 7x \) from both sides:

\[ 10x - 7x + 15 = -3 \]

This simplifies to:

\[ 3x + 15 = -3 \]

Now, subtract 15 from both sides:

\[ 3x = -3 - 15 \]

This simplifies to:

\[ 3x = -18 \]

Next, divide both sides by 3:

\[ x = -6 \]

So the solution to the equation is \( x = -6 \).

Among the provided options, the correct answer is:

x = -6

could you simplify

Of course! Let's simplify the steps taken to solve the equation \( 5(2x + 3) = 7x - 3 \).

Step-by-Step Simplification

  1. Distribute the 5: \[ 5(2x + 3) = 7x - 3 \] becomes \[ 10x + 15 = 7x - 3 \]

  2. Subtract \( 7x \) from both sides: \[ 10x - 7x + 15 = -3 \] simplifies to \[ 3x + 15 = -3 \]

  3. Subtract 15 from both sides: \[ 3x + 15 - 15 = -3 - 15 \] simplifies to \[ 3x = -18 \]

  4. Divide by 3: \[ x = \frac{-18}{3} \] simplifies to \[ x = -6 \]

Final Result

So, the solution to the equation \( 5(2x + 3) = 7x - 3 \) is: \[ \boxed{-6} \]

Let me know if you need any further simplification or help!