How do you solve $\frac{5}{2} + \frac{1}{4} x = 3 - \frac{3}{8} x$ $5/2+1/4x=3-3/8x$ ?

Question

1810 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-07-09T08:46:49

$x = \frac{4}{5}$ $x = 4/5$

As explained below:

Step 1: Shift all variables in one side:

$\frac{5}{2} + (\frac{1}{4}) x$ $5/2+(1/4)x$ = $3 - (\frac{3}{8}) x$ $3-(3/8)x$

$(\frac{1}{4}) x + (\frac{3}{8}) x$ $(1/4)x + (3/8)x$ = $3 - \frac{5}{2}$ $3 - 5/2$

Step 2: Simplify both sides:

$\frac{2 x + 3 x}{8}$ $(2x + 3x)/8$ = $\frac{(2 \times 3) - 5}{2}$ $((2 xx 3) - 5)/2$

$(\frac{5}{8}) x$ $(5/8)x$ = $\frac{6 - 5}{2}$ $(6-5)/2$

$(\frac{5}{8}) x$ $(5/8)x$ = $\frac{1}{2}$ $1/2$

$x = \frac{1}{2} \times \frac{8}{5}$ $x = 1/2 xx 8/5$

$x = \frac{4}{5}$ $x = 4/5$

Check the Answer:

$\frac{5}{2} + (\frac{1}{4} \times \frac{4}{5})$ $5/2 + (1/4xx 4/5)$ = $3 - (\frac{3}{8} \times \frac{4}{5})$ $3 - (3/8 xx 4/5)$

$\frac{5}{2} + \frac{1}{5}$ $5/2 + 1/5$ = $3 - \frac{3}{10}$ $3 - 3/10$

$\frac{25 + 2}{10}$ $(25 + 2)/10$ = $\frac{30 - 3}{10}$ $(30 - 3)/10$

$\frac{27}{10}$ $27/10$ = $\frac{27}{10}$ $27/10$ ----> Right!

How do you solve 52+14x=3−38x5/2+1/4x=3-3/8x?