# Solving This Equation GCSE Maths

$$\mathbf{Solve}\frac{x+826}{x+2065}= 0.41\space \mathbf{FOR}\space x$$ Ok I came across this question in a GCSE paper and have no idea how to solve it. Please can you show me how one might go about working this out.

Thankyou,

If we multiply both sides by the denominator $x+2065$, we have:
$$x+826=0.41(x+2065)=0.41x + 846.65$$
We can subtract $0.41x$ from both sides to give:
$$0.59x+826=846.65 \implies 0.59x=20.65 \implies x=\frac{20.65}{0.59}=35$$
$$x + 826 = .41x + 2065*.41?$$