X-2=15-(7/8x)

Solution for X-2=15-(7/8x) equation:

X-2=15-(7/8X)

We move all terms to the left:

X-2-(15-(7/8X))=0


Domain of the equation: 8X))!=0

X!=0/1

X!=0

X∈R


We add all the numbers together, and all the variables

X-(15-(+7/8X))-2=0

We multiply all the terms by the denominator


X*8X))-(15-(-2*8X))+7=0

Wy multiply elements

8X^2-16X=0

a = 8; b = -16; c = 0;
Δ = b2-4ac
Δ = -162-4·8·0
Δ = 256
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{256}=16$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-16)-16}{2*8}=\frac{0}{16}
=0
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16)+16}{2*8}=\frac{32}{16}
=2
$