Combine terms: Combine the terms with x on one side and the constant terms on the other side.To do this, we will add 58x to both sides of the equation.59−58x+58x=2+58x
Simplify equation: Simplify both sides of the equation.On the left side, the terms (58x) cancel out, leaving us with 59. On the right side, we have 2+(58x).59=2+(58x)
Convert whole number: Convert the whole number2 to a fraction with the same denominator as 59 to combine the terms.2 can be written as 510 because 2×55=510.59=510+58x
Subtract to isolate: Subtract (10/5) from both sides to isolate the term with x.59−(510)=(510)+(58x)−(510)
Simplify equation: Simplify both sides of the equation.On the left side, we have (59)−(510) which is (−51). On the right side, the (510) cancels out, leaving us with (58x).(−51)=(58x)
Multiply by reciprocal: Multiply both sides by the reciprocal of (58) to solve for x. The reciprocal of (58) is (85), so we multiply both sides by (85). (−51)×(85)=(58x)×(85)
Simplify result: Simplify both sides of the equation.On the left side, the 5s cancel out and we are left with −1×81, which is −81. On the right side, the 8s and the 5s cancel out, leaving us with x.(−81)=x
More problems from Solve equations with the distributive property