Solve and check the linear equation.
-$$0.40 x - 0.20 ( 80 + x ) = - 0.10 ( 80 )$$
A) $\{ 40 \}$
B) $\{ 30 \}$
C) $\{ 50 \}$
D) $\{ 20 \}$ Find all values of x satisfying the given conditions.

Question

Quizplus · Accepted Answer

First, distribute the -0.20 across the (80 + x) and the -0.10 across 80, which gives: $0.40x - 0.20 \times 80 - 0.20x = -0.10 \times 80$. Simplifying, we get $0.20x - 16 = -8$. Adding 16 to both sides gives $0.20x = 8$. Dividing both sides by 0.20, we find $x = 40$, which matches choice A.

Solve and Check the Linear Equation 0.40x−0.20(80+x)=−0.10(80)0.40 x - 0.20 ( 80 + x ) = - 0.10 ( 80 )0.40x−0.20(80+x)=−0.10(80)

Solve and Check the Linear Equation $0.40 x - 0.20 ( 80 + x ) = - 0.10 ( 80 )$