Solve the equation for x. -2x + 0.25 = ³⁄₄

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When solving an equation with one variable, your goal is to isolate the variable on one side of the equal sign. You do this by moving all of the other numbers to the opposite of the equal sign. You move numbers by performing the opposite operation (subtraction/addition and multiplication/division), on both sides of the equation to keep it balanced. For this problem: The first thing you want to do is move the ( 0.25) to the other side of the equation by subtracting 0.25 (opposite operation) to both sides. -2x + 0.25 - 0.25 = ³⁄₄ - 0.25 -2x = ³⁄₄ - 0.25 Now, let's simplify the right side of the equation. We know 0.25 in fraction form is ¹⁄_4: -2x = ³⁄₄ - 0.25 -2x = ³⁄₄ - ¹⁄₄ -2x = ²⁄₄ -2x = ¹⁄₂ Then, you need to move the (-2), which is multiplying x. You do this by dividing (opposite operation) both sides by -2. -2x = ¹⁄₂ -2x ÷ -2 = ¹⁄₂÷ -2 When dividing with fractions, we need to convert any whole numbers to fractions as well. All whole numbers can be written as a fraction by putting the whole number over 1. So, -2 = -²⁄₁. x = ¹⁄₂ ÷ -²⁄₁ Also remember that when dividing by a fraction, we multiply by the reciprocal. In this case, the reciprocal of -²⁄₁ is -¹⁄₂. x = ¹⁄₂ • -¹⁄₂ x = -¹⁄₄

Solve the Equation for X