Questions: 9-(7-8x)=4x+5

Transcript text: $9-(7-8x)=4x+5$

Solution

Solution Steps

Step 1: Simplify the Equation

Start with the original equation: \[ 9 - (7 - 8x) = 4x + 5 \] Distribute the negative sign: \[ 9 - 7 + 8x = 4x + 5 \] This simplifies to: \[ 2 + 8x = 4x + 5 \]

Step 2: Rearrange the Equation

Next, isolate the variable $x$ by moving all terms involving $x$ to one side and constant terms to the other side: \[ 8x - 4x = 5 - 2 \] This simplifies to: \[ 4x = 3 \]

Step 3: Solve for $x$

Finally, divide both sides by 4 to solve for $x$: \[ x = \frac{3}{4} \]