Question 147903
{{{5/(4x)+1/(8x)= 7/(8+x)}}}
Multiply both sides by (4x)(8x)(8+x) to get rid of denominators.
{{{5(8x)(8+x)+1(4x)(8+x)=7(4x)(8x)}}}
{{{(40x)(8+x)+(4x)(8+x)=7(4x)(8x)}}}
{{{320x+40x^2+32x+4x^2=224x^2}}}
{{{44x^2+352x=224x^2}}}Simplify.
{{{180x=352}}}Divide by x and reduce to lowest terms. 
{{{x=88/45}}}