Question

1/3х+3/8*(х-1/3х)+100=х

Answer 1

1/3х+3/8*(х-1/3х)+100=х
1/3x+3/8x-1/8x+100=х
8х+9х-3х+2400=24х
14х+2400=24х
-10х=-2400
х=240

Answer 2

$\frac{1}{3}x+\frac{3}{8}*(x-\frac{1}{3}x)+100=x$
$\frac{1}{3}x+\frac{3}{8}*(\frac{3}{3}x-\frac{1}{3}x)-x=-100$
$\frac{1}{3}x+\frac{3}{8}*\frac{2}{3}x-x=-100$
$\frac{1}{3}x+\frac{1}{4}x-x=-100$
$\frac{4}{12}x+\frac{3}{12}x-\frac{12}{12}x=-100$
$-\frac{5}{12}x=-100$
$x=-100:(-\frac{5}{12})$
$x=-100*(-\frac{12}{5})$
$x=\frac{1200}{5}$
$x=240$

Answer 3

To solve this equation, we need to simplify and isolate the variable x on one side of the equation:

1/3x + 3/8(x - 1/3x) + 100 = x

First, we simplify the expression inside the parentheses:

1/3x + 3/8(x - 1/3x) + 100 = x 1/3x + 3/8x - 1/8(1/3x) + 100 = x 1/3x + 3/8x - 1/24x + 100 = x

Next, we combine like terms on the left-hand side of the equation:

1/3x + 3/8x - 1/24x + 100 = x (8/24)x + (9/24)x - (1/24)x + 100 = x (16/24)x + 100 = x (2/3)x + 100 = x

Subtracting (2/3)x from both sides, we get:

(2/3)x + 100 - (2/3)x = x - (2/3)x 100 = (1/3)x

Multiplying both sides by 3, we get:

300 = x

Therefore, the solution to the equation is x = 300.