solve the equation $\frac{1}{5}(x - 2)=\frac{1}{10}(x + 6)$. \n$x=square$ (type an integer or a fraction…
solve the equation $\frac{1}{5}(x - 2)=\frac{1}{10}(x + 6)$. \n$x=square$ (type an integer or a fraction. simplify your answer.)
Answer
Explanation:
Step1: Eliminate fractions
Multiply both sides by 10: $10\times\frac{1}{5}(x - 2)=10\times\frac{1}{10}(x + 6)$. $2(x - 2)=x + 6$.
Step2: Expand left - hand side
Use distributive property: $2x-4=x + 6$.
Step3: Isolate x terms
Subtract x from both sides: $2x-x-4=x-x + 6$. $x-4=6$.
Step4: Solve for x
Add 4 to both sides: $x-4 + 4=6 + 4$. $x = 10$.
Answer:
$10$