algebra 1

First, we need to combine the like terms on the left side of the equation. 2/5(20x+5) - 1/2(8-4x) = 2/5(20x+5) - 1/2(8) + 1/2(4x) = (40/5)x + (25/5) - 4 + (2/5)x = (80/5)x + (21/5) Now, we set the left side equal to 38. (80/5)*x + (21/5) = 38 We subtract (21/5) from both sides to get rid of the constant term. (80/5)*x = 38 - (21/5) We divide both sides by (80/5) to isolate the variable term. x = (38 - (21/5))/(80/5) Simplifying this fraction, it becomes x = (114 - 21)/80 x = 93/80 Therefore, the solution to 2/5(20x+5)-1/2(8-4x)=38 is x = 93/80.