Steps for Solving Linear Equation Quiz Linear Equation 5 problems similar to: Share1+4x\left(-\frac{1}{4}\right)=2x Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 4x, the least common multiple of 4x,4,2. 1-x=2x Multiply 4 and -\frac{1}{4} to get -1. 1-x-2x=0 Subtract 2x from both sides. 1-3x=0 Combine -x and -2x to get -3x. -3x=-1 Subtract 1 from both sides. Anything subtracted from zero gives its negation. x=\frac{-1}{-3} Divide both sides by -3. x=\frac{1}{3} Fraction \frac{-1}{-3} can be simplified to \frac{1}{3} by removing the negative sign from both the numerator and the denominator. |