Solve the following equation. Check your solution.

The solution set is .

Ask by Macdonald Greene. in the United States

Dec 29,2024

Question

Solve the following equation. Check your solution. $$ -0.10(60)+0.90 x=0.05(x-18) $$ The solution set is $$ \} $$.

UpStudy AI · Accepted Answer

Solve the equation $$ -0.10(60)+0.90x=0.05(x-18) $$.
Solve the equation by following steps:
- step0: Solve for $$x$$:
  $$-0.1	imes 60+0.9x=0.05\left(x-18ight)$$
- step1: Multiply the numbers:
  $$-6+0.9x=0.05\left(x-18ight)$$
- step2: Expand the expression:
  $$-6+0.9x=0.05x-0.9$$
- step3: Move the variable to the left side:
  $$-6+0.9x-0.05x=-0.9$$
- step4: Subtract the terms:
  $$-6+0.85x=-0.9$$
- step5: Move the constant to the right side:
  $$0.85x=-0.9+6$$
- step6: Add the numbers:
  $$0.85x=5.1$$
- step7: Divide both sides:
  $$\frac{0.85x}{0.85}=\frac{5.1}{0.85}$$
- step8: Divide the numbers:
  $$x=6$$
The solution to the equation $$ -0.10(60)+0.90x=0.05(x-18) $$ is $$ x=6 $$.
$$ x=6 $$

Solve the following equation. Check your solution.

The solution set is .

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Solve the following equation. Check your solution. The solution set is .