Solve for x in the equation 8/11(x+4/5)=24/55 .

Answer 1

To solve for x in the equation 8/11(x+4/5)=24/55, we can follow these steps:

1. Distribute the 8/11 to both terms inside the parentheses:
(8/11)*(x) + (8/11)*(4/5) = 24/55
(8/11)x + 32/55 = 24/55

2. Move the constant term (32/55) to the other side of the equation by subtracting it from both sides:
(8/11)x = 24/55 - 32/55
(8/11)x = -8/55

3. To eliminate the fraction, we can multiply both sides of the equation by the reciprocal of (8/11):
x = (-8/55) * (11/8)
x = -88/440
x = -1/5

Therefore, the solution to the equation is x = -1/5.

Answer 2

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

15.44876
15.44876

12.452
12.452

15.038
15.038

−2.252

Answer 3

To solve for x in the equation 1.26(x - 7.352) = 6.426, we can follow these steps:

1. Distribute the 1.26 to both terms inside the parentheses:
1.26x - (1.26 * 7.352) = 6.426
1.26x - 9.25632 = 6.426

2. Move the constant term (-9.25632) to the other side of the equation by adding it to both sides:
1.26x = 6.426 + 9.25632
1.26x = 15.68232

3. Divide both sides of the equation by 1.26 to solve for x:
x = 15.68232 / 1.26
x ≈ 12.452

Therefore, the solution to the equation is x ≈ 12.452.

Answer 4

Solve for x in the equation −6.29(x+7.85)=−19.499 .

Answer 5

To solve for x in the equation −6.29(x+7.85)=−19.499, we can follow these steps:

1. Distribute the -6.29 to both terms inside the parentheses:
-6.29 * x - 6.29 * 7.85 = -19.499
-6.29x - 49.1465 = -19.499

2. Move the constant term (-49.1465) to the other side of the equation by adding it to both sides:
-6.29x = -19.499 + 49.1465
-6.29x = 29.6475

3. Divide both sides of the equation by -6.29 to solve for x:
x = 29.6475 / -6.29
x ≈ -4.719

Therefore, the solution to the equation is x ≈ -4.719.