How Do You Solve a Multi-Step Equation with Fractions Using Reverse Order of Operations and Reciprocals?

x is the variable we are trying to solve for
After we add 2 to get (2/3)•x by itself, we need to get rid of the 2/3 in front of the x
To get rid of the 2/3, we multiply both sides of the equation by 3/2, which is the reciprocal of 2/3

1. x is the variable we are trying to solve for
1. When we add 2 to the left side of the equation, we cancel out the -2 and leave only terms with x
1. Since we add 2 on the left side, we have to add 2 on the right side of the equation too!
2. When we add 2 to the left side of the equation, we cancel out the -2 and leave only terms with x
3. -2+2 cancels out and so (2/3)•x remains on the left side
1. Multiplying a number by its reciprocal gives you 1, which will leave 1•x, or just x by itself
1. To get the reciprocal of 2/3, take bring the 3 from the denominator to the numerator, and bring the 2 from the numerator to the denominator
1. x is the variable we are trying to solve for
2. When a number gets multiplied by its reciprocal, the numerator and denominator cancel out!
1. Multiply the numerators together and the denominators together
2. 3 times 6 is 18
3. 2 times 1 is 2
1. 18 divided by 2 is 9

Solve for x: (2/3)•x - 2 = 4