Explain each step. You must use the terms reciprocal and coefficient at least once. Label your steps with Step 1, Step 2, Step 3, and Step 4.

Equation Justification
two-thirds times x equals four-fifths
the reciprocal of two-thirds is three-halves 1.
three-halves times two-thirds times x equals three-halves times four-fifths 2.
x equals three-halves times four-fifths equals twelve-tenths 3.
x equals twelve divided by two over ten divided by two, which equals six-fifths which equals one remainder one which equals one and one-fifth 4.

Question

Explain each step. You must use the terms reciprocal and coefficient at least once. Label your steps with Step 1, Step 2, Step 3, and Step 4. 


Equation	Justification
two-thirds times x equals four-fifths	           
the reciprocal of two-thirds is three-halves	1.           
three-halves times two-thirds times x equals three-halves times four-fifths	2.           
x equals three-halves times four-fifths equals twelve-tenths	3.          
x equals twelve divided by two over ten divided by two, which equals six-fifths which equals one remainder one which equals one and one-fifth	4.