## Introductory Algebra for College Students (7th Edition)

The solution is: $$x = 4$$ To check if the solution is correct, we plug $4$ in for $x$ into the original equation: $$0.1(4 - 3) = 1.1 - 0.25(4)$$ Evaluate what is in parentheses first: $$0.1(1) = 1.1 - 0.25(4)$$ Multiply, according to order of operations: $$0.1 = 1.1 - 1$$ Now, you can do the subtraction: $$0.1 = 0.1$$ The solution is correct because both sides of the equation are equal.
To solve the equation for $x$, you have to isolate $x$. First, you distribute what is in parentheses: $$0.1x - 0.3 = 1.1 - 0.25x$$ Add $0.25x$ to both sides of the equation to isolate the variable: $$0.35x - 0.3 = 1.1$$ Add $0.3$ to both sides to move constants to the other of the equation: $$0.35x = 1.4$$ Divide by $0.35$ on both sides to isolate $x$: $$x = 4$$ To check if the solution is correct, we plug $4$ in for $x$ into the original equation: $$0.1(4 - 3) = 1.1 - 0.25(4)$$ Evaluate what is in parentheses first: $$0.1(1) = 1.1 - 0.25(4)$$ Multiply, according to order of operations: $$0.1 = 1.1 - 1$$ Now, you can do the subtraction: $$0.1 = 0.1$$ The solution is correct because both sides of the equation are equal.