Please I need help 10. Examine the following solution to a linear equation. Do you see a mistake? Identify the first line of the solution that is incorrect (if any). Original Equation: 30x = 23(1 + 3) + 12x + 22

A. no mistakes
B. step 5
C. step 3
D. step 6
E. step 1
F. step 4

x = 19/3

Step-by-step explanation:

Solve for x:

30 x = 12 x + 22 + 23 (1 + 3)

Hint: | Evaluate 1 + 3.

1 + 3 = 4:

30 x = 12 x + 22 + 4 23

Hint: | Multiply 23 and 4 together.

23×4 = 92:

30 x = 12 x + 22 + 92

Hint: | Group like terms in 12 x + 22 + 92.

Grouping like terms, 12 x + 22 + 92 = 12 x + (92 + 22):

30 x = 12 x + (92 + 22)

Hint: | Evaluate 92 + 22.

92 + 22 = 114:

30 x = 12 x + 114

Hint: | Move terms with x to the left hand side.

Subtract 12 x from both sides:

30 x - 12 x = (12 x - 12 x) + 114

Hint: | Combine like terms in 30 x - 12 x.

30 x - 12 x = 18 x:

18 x = (12 x - 12 x) + 114

Hint: | Look for the difference of two identical terms.

12 x - 12 x = 0:

18 x = 114

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 18 x = 114 by 18:

(18 x)/18 = 114/18

Hint: | Any nonzero number divided by itself is one.

18/18 = 1:

x = 114/18

Hint: | Reduce 114/18 to lowest terms. Start by finding the GCD of 114 and 18.

The gcd of 114 and 18 is 6, so 114/18 = (6×19)/(6×3) = 6/6×19/3 = 19/3:

x = 19/3

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