Questions: Solve for x 5 = (x + 35) / 5 Simplify your answer as much as possible. x =

Transcript text: Solve for $x$ \[ 5=\frac{x+35}{5} \] Simplify your answer as much as possible. \[ x= \] $\square$

Solution

Solution Steps

To solve for $ x $ in the equation $ 5 = \frac{x + 35}{5} $, we need to isolate $ x $. We can do this by first eliminating the fraction by multiplying both sides of the equation by 5, and then solving the resulting linear equation.

Step 1: Eliminate the Fraction

Multiply both sides of the equation by 5 to eliminate the fraction: \[ 5 \times 5 = \frac{x + 35}{5} \times 5 \] This simplifies to: \[ 25 = x + 35 \]

Step 2: Isolate $ x $

Subtract 35 from both sides to isolate $ x $: \[ 25 - 35 = x \] This simplifies to: \[ x = -10 \]