Question

7 1/4x +x-2 11/12x +1 2/3x=5 3/5

Answer 1

29/4 Х+Х-35/12 Х +3/5 Х =28/5
(87Х+12Х-35Х+20Х ) /12 = 28/5
7х=28/5
х=4/5

Answer 2

To solve the equation $7 \frac{1}{4}x + x - 2 \frac{11}{12}x + 1 \frac{2}{3}x = 5 \frac{3}{5}$, you'll want to combine like terms and isolate the variable $x$. Here are the steps:

Step 1: Add and subtract fractions as needed to make the fractions have a common denominator.

$7 \frac{1}{4}x + x - 2 \frac{11}{12}x + 1 \frac{2}{3}x = 5 \frac{3}{5}$

First, we need to find a common denominator for the fractions. The common denominator for 4, 12, and 3 is 12.

So, rewrite the fractions with a common denominator of 12:

$7 \frac{3}{12}x + x - 2 \frac{11}{12}x + 1 \frac{8}{12}x = 5 \frac{9}{12}$

Step 2: Combine the fractions:

$7 \frac{3}{12}x + x - 2 \frac{11}{12}x + 1 \frac{8}{12}x = 5 \frac{9}{12}$

Now, combine the fractions on both sides:

$\left(7 \frac{3}{12} - 2 \frac{11}{12} + 1 \frac{8}{12}\right)x + x = 5 \frac{9}{12}$

Step 3: Simplify each fraction:

$7 \frac{3}{12} - 2 \frac{11}{12} + 1 \frac{8}{12} = \frac{7 \cdot 3}{12} - \frac{2 \cdot 11}{12} + \frac{1 \cdot 8}{12} = \frac{21}{12} - \frac{22}{12} + \frac{8}{12} = \frac{7 - 22 + 8}{12} = \frac{-7}{12}$

So, the left side of the equation becomes:

$\frac{-7}{12}x + x = 5 \frac{9}{12}$

Step 4: Combine the $x$ terms:

$\frac{-7}{12}x + x = \frac{5 \cdot 12 + 9}{12}$

$\frac{5 \cdot 12 - 7x + 9}{12} = \frac{69}{12}$

Step 5: Isolate $x$:

$\frac{5 \cdot 12 - 7x + 9}{12} = \frac{69}{12}$

Now, subtract 9 from both sides:

$\frac{5 \cdot 12 - 7x}{12} = \frac{69 - 9}{12}$

$\frac{60 - 7x}{12} = \frac{60}{12}$

Divide both sides by $\frac{1}{12}$ to isolate $x$ 0 0