What is the solution to the equation 1.26(x−7.352)=6.426

Question

when solving for x
?(1 point)
Responses

15.038
15.038

−2.252
negative 2.252

15.44876
15.44876

12.452

Answer 1

To solve the equation $1.26(x-7.352)=6.426$, we need to isolate $x$.

1. Start by dividing both sides by $1.26$: $$x-7.352=\frac{6.426}{1.26}$$

2. Calculate $\frac{6.426}{1.26}$: $$\frac{6.426}{1.26}=5.1$$ Now the equation is: $$x-7.352=5.1$$

3. Add $7.352$ to both sides: $$x=5.1+7.352$$ $$x=12.452$$

Thus, the solution to the equation is $\boxed{{\displaystyle 12.452}}$.