Solving Equations With Variables on Both Sides

Front

What is the first step in solving the equation 7x - 4 = 3 + 8x?

Back

Combine like terms by moving all terms involving x to one side of the equation.

Front

What does it mean to isolate the variable in an equation?

Back

To isolate the variable means to manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

Solve for x: 2x = x + 3

Back

x = 3

Front

What is the goal of solving equations with variables on both sides?

Back

The goal is to find the value of the variable.

Front

Solve for x: 7x = 3x + 24

Back

x = 6

Front

What is a coefficient in an equation?

Back

A coefficient is a numerical factor that multiplies a variable.

Front

Solve for x: 5x - 14 = 8x + 4

Back

x = -6

Front

What does it mean if an equation has no solution?

Back

It means that there is no value for the variable that can satisfy the equation.

Front

What is the process of checking your solution in an equation?

Back

Substituting the solution back into the original equation to verify that both sides are equal.

Front

Solve for x: 4x + 2 = 2x + 10

Back

x = 4