Question

2/3x+1/3=-7/3

Answer 1

23⋅x+13=−73

Multiply 23 by x to get 2x3.

2x3+13=−73

Since 13 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 13 from both sides.

2x3=−13−73

Simplify the right-hand side of the equation.


2x3=−83

Multiply both sides of the equation by 3.

2x=−83⋅(3)

Multiply −8 by 3 to get −24




2x=−243

Move the minus sign from the numerator to the front of the expression.

2x=−243

Reduce the expression by canceling out all common factors from the numerator and denominator.


2x=−8

Divide each term in the equation by 2.

2x2=−82

Simplify the left-hand side of the equation by canceling the common factors.


x=−82

Simplify the equation.


x=−4