Solve equations variables on both sides

Front

What is the first step in solving an equation with variables on both sides?

Back

Isolate one variable on one side of the equation.

Front

Solve for x: 4(1-x)+3x=-2(x+1)

Back

x = -6

Front

What does it mean to 'combine like terms' in an equation?

Back

It means to simplify the equation by adding or subtracting terms that have the same variable and exponent.

Front

Solve: 2(4x - 3) - 8 = 4 + 2x

Back

x = 3

Front

What is the purpose of using the distributive property in solving equations?

Back

To eliminate parentheses and simplify the equation.

Front

Solve the following equation for x: 10x - 6x = 23 + 5

Back

x = 7

Front

What is the solution to the equation 8x - 8 = -4x + 16?

Back

x = 2

Front

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

Back

To manipulate the equation so that the variable is alone on one side.

Front

Solve for n: -(8n - 2) = 3 + 10(1 - 3n)

Back

n = 1/2

Front

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

Back

To verify that the solution satisfies the original equation.