Question

1/4(X-10)=2X+1 what is X?

Answer 1

Answer: $x=-2$

Step-by-step explanation:

$\frac{1}{4}(x-10)=2x+1$

Distribute 1/4

$\frac{1}{4}x-\frac{1}{4}(10)=2x+1$

$\frac{1}{4}x-\frac{5}{2}=2x+1$

add 5/2

$\frac{1}{4}x-\frac{5}{2}+\frac{5}{2}=2x+1+\frac{5}{2}$

$\frac{1}{4}x=2x+\frac{1*2+5}{2}$

$\frac{1}{4}x=2x+\frac{2+5}{2}$

$\frac{1}{4}x=2x+\frac{7}{2}$

Subtract 2x

$\frac{1}{4}x-2x=2x-2x+\frac{7}{2}$

$\frac{1}{4}x-2x=\frac{7}{2}$

$\frac{1-2*4}{4}x=\frac{7}{2}$

$\frac{1-8}{4}x=\frac{7}{2}$

$-\frac{7}{4} x=\frac{7}{2}$

Multiply by the negative reciprocal of -7/4 which is basically inverting the fraction -4/7

$(-\frac{4}{7} )-\frac{7}{4} x=\frac{7}{2}(-\frac{4}{7} )$

$x=-\frac{28}{14}\\ x=-2$