Question

112-[(100-3x)×4]\23=208\2

Answer 1

112-[(100-3x)×4]\23=208\2  112-(400-12х)/23=104  2576-400+12х=104*23

2176+12х=2392    12х=2392-2176   12х=216  х=18

Answer 2

To solve this equation, we need to follow the order of operations (also known as PEMDAS) to simplify the left-hand side of the equation first.

PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

Let's simplify the left-hand side first:

112 - [(100 - 3x) × 4] ÷ 23

= 112 - [(400 - 12x) ÷ 23] (we simplified the expression inside the parentheses first by multiplying 4 with the quantity inside the parentheses)

Now, let's simplify the expression inside the brackets:

(400 - 12x) ÷ 23

= (400 ÷ 23) - (12x ÷ 23)

= 17.3913 - 0.5217x

Substituting this into the original equation, we get:

112 - (17.3913 - 0.5217x) = 208 ÷ 2

Simplifying the right-hand side:

112 - 17.3913 + 0.5217x = 104

Combining like terms:

94.6087 + 0.5217x = 104

Subtracting 94.6087 from both sides:

0.5217x = 9.3913

Dividing both sides by 0.5217:

x ≈ 18

Therefore, the solution to the equation is x ≈ 18.