7:12 Assignment Overview \( 1 \approx \) DeltaMath Score: 7/8 Penalty: none Variable on both sides Question Examples Solve for \( x \) : \[ 4 x+7=2 x+5 \] Answer Attempt 1 out of 2 \[ x=\square \] Submit Answer Copyright ©2025 DeltaMath.com All Rights Reserved. Terms \& Policies deltamath.com

To solve the equation \(4x + 7 = 2x + 5\), you'll want to isolate \(x\). Start by getting all terms involving \(x\) on one side and constant terms on the other. So, subtract \(2x\) from both sides: \[ 4x - 2x + 7 = 5 \] This simplifies to: \[ 2x + 7 = 5 \] Next, subtract \(7\) from both sides: \[ 2x = 5 - 7 \] Which gives: \[ 2x = -2 \] Finally, divide both sides by \(2\) to find: \[ x = -1 \] Now you can submit your answer as \(x = -1\). Real-world applications of solving equations like this can be seen in various fields, such as economics when balancing budgets or in science for calculating measurements. Understanding how to manipulate these algebraic expressions helps build critical thinking skills and apply them in daily situations! A common mistake when solving equations is forgetting that whatever you do to one side of the equation, you must do to the other. Always maintain balance, or you might end up with an incorrect solution! Double-check your steps, and you'll be on the right path!