Solving Linear Equations and Expressions

What is the first step to simplify the equation x + 5(3x - 4) = 12x + 4?

• Combine x and 12x.

• Distribute 5 to (3x - 4).

• Subtract 4 from both sides.

• Add 20 to both sides.

After applying the distributive property to x + 5(3x - 4) = 12x + 4, what is the next step to simplify the equation?

• Add 4 to both sides.

• Subtract 12x from both sides.

• Combine like terms on the left side.

• Divide by 5.

After simplifying both sides of the equation to 16x - 20 = 12x + 4, what is the most efficient next step to solve for x?

• Add 20 to both sides.

• Subtract 16x from both sides.

• Subtract 12x from both sides.

• Divide by 4.

What is the solution for x in the equation x + 5(3x - 4) = 12x + 4?

• x = 4

• x = 6

• x = 20

• x = 24

After distributing and combining like terms, what is the simplified form of the left side of the equation x + 5(3x - 4) = 12x + 4?

• 16x - 20

• 15x - 20

• 16x + 20

• 15x + 20

What is the result of distributing -9 in the expression -9(m - 2)?

• -9m - 18

• -9m + 18

• -9m - 2

• -9m + 2

To solve the equation -2m + 18 = -10 for m, what is the first step to isolate the variable term?

• Add 18 to both sides.

• Subtract 18 from both sides.

• Divide both sides by -2.

• Multiply both sides by -2.

What is the solution for m in the equation -9(m - 2) + 7m = -10?

• m = -14

• m = 14

• m = -28

• m = 28