Question

X(a-b)=b(c-x)make x the subject of the formular pls help meee​

Answer 1

Answer:

$X(a - b) = b (c - x) : x = - -\frac{X\left(a-b\right)-bc}{b};\quad \:b\ne \:0$

Step-by-step explanation:

$X\left(a-b\right)=b\left(c-x\right)$

Switch sides:

$b\left(c-x\right)=X\left(a-b\right)$

Divide both sides by; $\:b\ne \:0$

$\frac{b\left(c-x\right)}{b}=\frac{X\left(a-b\right)}{b};\quad \:b\ne \:0$

Simplify:

$\frac{b\left(c-x\right)}{b}=\frac{X\left(a-b\right)}{b};\quad \:b\ne \:0$

Subtract $c$ from both sides:

$c-x-c=\frac{X\left(a-b\right)}{b}-c;\quad \:b\ne \:0$

Simplify:

$-x=\frac{X\left(a-b\right)}{b}-c;\quad \:b\ne \:0$

Divide both sides by $-1;\quad \:b\ne \:0$:

$\frac{-x}{-1}=\frac{\frac{X\left(a-b\right)}{b}}{-1}-\frac{c}{-1};\quad \:b\ne \:0$

Simplify:

$x=-\frac{X\left(a-b\right)-bc}{b};\quad \:b\ne \:0$

Hope I helped. If so, may I get brainliest and a thanks?

Thank you. Have a good day! =)