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Solve this equation for x:

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

x = 5

x = 6

x = - 5

x = - 6

1 answer

To solve the equation \( 5(2x + 3) = 7x - 3 \), we will first expand and simplify the equation.

  1. Distribute the 5 on the left side: \[ 10x + 15 = 7x - 3 \]

  2. Next, we will isolate \( x \) by moving all terms involving \( x \) to one side and constant terms to the other. Subtract \( 7x \) from both sides: \[ 10x - 7x + 15 = -3 \] Simplifying this gives: \[ 3x + 15 = -3 \]

  3. Now, subtract 15 from both sides: \[ 3x = -3 - 15 \] Which simplifies to: \[ 3x = -18 \]

  4. Finally, divide both sides by 3: \[ x = -6 \]

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