53x+113=−43

Question

53x=
Subtract 113 from both sides.
x=
Multiply both sides by 35, the reciprocal of 53.

Answer 1

Let's solve the equation step by step.

1. Start with the original equation: \[ 53x + 113 = -43 \]

2. Subtract 113 from both sides: \[ 53x = -43 - 113 \] \[ 53x = -156 \]

3. Now, to isolate \( x \), multiply both sides by the reciprocal of 53 (which is \( \frac{1}{53} \)): \[ x = \frac{-156}{53} \]

That's the solution. You can simplify or calculate the decimal equivalent if needed: \[ x \approx -2.943396226415094 \]

So, the solution is: \[ x = \frac{-156}{53} \] or approximately \(-2.94\).