Question

5-(1 1/2х+1/3)*6=2 1/4х-5 1/2​

Answer 1

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Answer 2

To solve the equation, let's follow these steps:

1. Distribute the terms on the left side of the equation.
2. Combine like terms on both sides of the equation.
3. Isolate the variable (x) term on one side of the equation.

Given equation: 5 - (1 1/2x + 1/3) * 6 = 2 1/4x - 5 1/2

Step 1: Distribute the terms on the left side of the equation. 5 - (1 1/2x + 1/3) * 6 = 2 1/4x - 5 1/2

Distribute the "-6" to both terms inside the parentheses: 5 - (9x/2 + 2/3) = 2 1/4x - 5 1/2

Step 2: Combine like terms on both sides of the equation. Convert all the mixed numbers to improper fractions: 5 - (9x/2 + 2/3) = 9x/4 - 11/2

Common denominator for the fractions on the left side is 6. Multiply the fractions to have a common denominator: 5 * 6 - (9x/2 * 3 + 2/3 * 6) = 9x/4 - 11/2 30 - (27x/2 + 4) = 9x/4 - 11/2

Distribute the negative sign on the left side: 30 - 27x/2 - 4 = 9x/4 - 11/2 26 - 27x/2 = 9x/4 - 11/2

Step 3: Isolate the variable (x) term on one side of the equation. Get rid of fractions by multiplying both sides of the equation by 4 and 2 to clear the denominators: (4 * 26) - 27x * 2 = 9x * 2 - (4 * 11) 104 - 54x = 18x - 44

Add 54x to both sides: 104 = 72x - 44

Add 44 to both sides: 148 = 72x

Divide by 72: x = 148 / 72 x ≈ 2.0556

So, the approximate solution for the equation is x ≈ 2.0556.