Question: (\[ \frac{3x}{4} - 2.5 = 2.3 \]\)…

\(\[ \frac{3x}{4} - 2.5 = 2.3 \]\)

Solution

To solve the equation: \[ \frac{3x}{4} - 2.5 = 2.3 \] First, add \(2.5\) to both sides of the equation to isolate the term with \(x\): \[ \frac{3x}{4} = 2.3 + 2.5 \] Simplify the right side: \[ \frac{3x}{4} = 4.8 \] Multiply both sides by \(4\) to get rid of the fraction: \[ 3x = 4 \times 4.8 \] Calculate the multiplication: \[ 3x = 19.2 \] Divide both sides by \(3\) to solve for \(x\): \[ x = \frac{19.2}{3} \] Simplify the division: \[ x = 6.4 \] Thus, the solution is \(x = 6.4\).