Express your answer as an integer, as a simplified fraction, or as a decimal number rounded to $$ 13+18=20 x+1-38 x $$

Question

UpStudy AI · Accepted Answer

Solve the equation by following steps:
- step0: Solve for $$x$$:
  $$13+18=20x+1-38x$$
- step1: Add the numbers:
  $$31=-18x+1$$
- step2: Swap the sides:
  $$-18x+1=31$$
- step3: Move the constant to the right side:
  $$-18x=31-1$$
- step4: Subtract the numbers:
  $$-18x=30$$
- step5: Change the signs:
  $$18x=-30$$
- step6: Divide both sides:
  $$\frac{18x}{18}=\frac{-30}{18}$$
- step7: Divide the numbers:
  $$x=-\frac{5}{3}$$
To solve the equation $$ 13 + 18 = 20x + 1 - 38x $$, we can simplify and rearrange it step by step.

1. Combine the constants on the left side:
   $$
   31 = 20x + 1 - 38x
   $$

2. Combine like terms on the right side:
   $$
   31 = (20x - 38x) + 1
   $$
   $$
   31 = -18x + 1
   $$

3. Subtract 1 from both sides:
   $$
   31 - 1 = -18x
   $$
   $$
   30 = -18x
   $$

4. Divide both sides by -18 to solve for $$ x $$:
   $$
   x = -\frac{30}{18}
   $$

5. Simplify the fraction:
   $$
   x = -\frac{5}{3}
   $$

Thus, the solution for $$ x $$ is $$ -\frac{5}{3} $$.

Alternatively, as a decimal, this can be expressed as approximately $$ -1.67 $$ (rounded to two decimal places).

The most appropriate result format is:
$$
x = -\frac{5}{3}
$$
$$ x = -\frac{5}{3} $$

Express your answer as an integer, as a simplified fraction, or as a decimal number rounded to

Upstudy AI Solution

Answer

Solution

Beyond the Answer

Related Questions

Latest Algebra Questions