Answer:
[tex]X(a - b) = b (c - x) : x = - -\frac{X\left(a-b\right)-bc}{b};\quad \:b\ne \:0[/tex]
Step-by-step explanation:
[tex]X\left(a-b\right)=b\left(c-x\right)[/tex]
Switch sides:
[tex]b\left(c-x\right)=X\left(a-b\right)[/tex]
Divide both sides by; [tex]\:b\ne \:0[/tex]
[tex]\frac{b\left(c-x\right)}{b}=\frac{X\left(a-b\right)}{b};\quad \:b\ne \:0[/tex]
Simplify:
[tex]\frac{b\left(c-x\right)}{b}=\frac{X\left(a-b\right)}{b};\quad \:b\ne \:0[/tex]
Subtract [tex]c[/tex] from both sides:
[tex]c-x-c=\frac{X\left(a-b\right)}{b}-c;\quad \:b\ne \:0[/tex]
Simplify:
[tex]-x=\frac{X\left(a-b\right)}{b}-c;\quad \:b\ne \:0[/tex]
Divide both sides by [tex]-1;\quad \:b\ne \:0[/tex]:
[tex]\frac{-x}{-1}=\frac{\frac{X\left(a-b\right)}{b}}{-1}-\frac{c}{-1};\quad \:b\ne \:0[/tex]
Simplify:
[tex]x=-\frac{X\left(a-b\right)-bc}{b};\quad \:b\ne \:0[/tex]
Hope I helped. If so, may I get brainliest and a thanks?
Thank you. Have a good day! =)
