What is the solution to the equation 1.26(x−7.352)=6.426 when solving for x?(1 point)

Responses

−2.252
negative 2.252

15.44876
15.44876

15.038
15.038

12.452

1 answer

To solve the equation 1.26(x−7.352)=6.426 for x, you need to isolate x by performing the necessary operations. Let's solve it step by step:

1. Distribute 1.26 to both terms inside the parentheses:
1.26x - 1.26(7.352) = 6.426

2. Simplify by multiplying:
1.26x - 9.25352 = 6.426

3. Add 9.25352 to both sides of the equation to move the constant term to the right side:
1.26x = 6.426 + 9.25352

4. Simplify further:
1.26x = 15.67952

5. Divide both sides of the equation by 1.26 to isolate x:
x = 15.67952 / 1.26

6. Calculate the division:
x ≈ 12.452

Therefore, the solution to the equation 1.26(x−7.352)=6.426 when solving for x is approximately 12.452.