Math Snap

STEP 1

1. The equation $0.01x + 2.01 = 2.07x - 0.05$ is a linear equation.
2. The goal is to solve for $x$.
3. The solution involves basic algebraic operations, including combining like terms and isolating the variable.

STEP 2

1. Move all terms involving $x$ to one side of the equation.
2. Move constant terms to the opposite side of the equation.
3. Solve for $x$ by isolating it.
4. Simplify the solution.

STEP 3

Subtract $0.01x$ from both sides of the equation to move all terms involving $x$ to one side:
$$0.01x + 2.01 - 0.01x = 2.07x - 0.05 - 0.01x$$ This simplifies to:
$$2.01 = 2.06x - 0.05$$

STEP 4

Add $0.05$ to both sides of the equation to move constant terms to the opposite side:
$$2.01 + 0.05 = 2.06x - 0.05 + 0.05$$ This simplifies to:
$$2.06 = 2.06x$$

STEP 5

Divide both sides by $2.06$ to solve for $x$:
$$\frac{2.06}{2.06} = \frac{2.06x}{2.06}$$ This simplifies to:
$$x = 1$$

The solution set of the equation is:
$$\boxed{1}$$