High School

Simplify the inequality:

-3(-2x + 20) + 8(x + 12) = 14x + 36

Steps:
1. Distribute:
-3(-2x) + -3(20) + 8(x) + 8(12)

2. Simplify the left side:
6x - 60 + 8x + 96 = 14x + 36

3. Combine like terms on the left:
14x + 36

4. Subtract 14x from both sides:
0 = 36

5. Divide by 14:
No solution (as 0 does not equal 36).

This inequality has no solution.

Answer :

The solution to the equation using the method stated is x = 4.

What is the value of x in the equation?.

The value of x in the given equation can be determined by applying the following method.

The given equation;

-3(-2x + 20) + 8(x + 12)

Distribute:

-3(-2x+20) + 8(x+12)

Expanding the terms inside the parentheses:

= 6x - 60 + 8x + 96

Simplify the left side:

= 14x - 60 + 96

Combining like terms:

= 14x + 36

Subtract:

14x + 36 = 92

Subtracting 36 from both sides of the equation,

14x = 92 - 36

14x = 56

Simplify:

14x = 56

Divide:

Dividing both sides of the equation by 14

x = 56/14

x = 4

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