Question

Solve for x. 21/2x−3/4(2x+5)=3/8 ​ x=−45/8 ​ x=−33/8 ​ x=41/8 ​ ​ x=53/8 ​

Answer 1

$2\dfrac{1}{2}x-\dfrac{3}{4}(2x+5)=\dfrac{3}{8}\ \ \ \ \ |\cdot8\\\\20x-2\cdot3(2x+5)=3\\\\20x-6(2x+5)=3\ \ \ \ |\text{use distributive property}\\\\20x-6(2x)-6(5)=3\\\\20x-12x-30=3\ \ \ \ \ |+33\\\\8x=33\ \ \ \ |:8\\\\\boxed{x=\dfrac{33}{8}}$