Question

Solve for x in terms of the other pronumerals

ax+ b/4 = x+c/3

Answer 1

• 
  `x=\cfrac{4c-3b}{3a-4}`

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Given expression

• 
  `\cfrac{ax+b}{4}=\cfrac{x+c}{3}`

Solve it for x in steps below

`\cfrac{ax+b}{4}=\cfrac{x+c}{3}` Given

`3(ax+b)=4(x+c)` Cross-multiply

`3ax + 3b=4x+4c` Distribute

`3ax-4x=4c-3b` Collect terms with x

`x(3a-4)=4c-3b` Factor out x

`x=\cfrac{4c-3b}{3a-4}` Divide both sides by 3a - 4