Solve Equations with Variables on Both Sides

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

• To make all numbers negative

• To get the variable on one side of the equation

• To multiply all terms by the largest coefficient

• To eliminate all constants from the equation

In the equation 5x - 4 = 2x + 11, what is the first step to gather the variable terms on one side, aiming to avoid negative coefficients for the variable?

• Add 4 to both sides

• Subtract 5x from both sides

• Subtract 2x from both sides

• Add 11 to both sides

After simplifying the equation to 3x - 4 = 11, what is the next step to isolate the variable term (3x)?

• Subtract 11 from both sides

• Add 4 to both sides

• Divide both sides by 3

• Multiply both sides by 4

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If an equation simplifies to 3x = 15, what operation is needed to solve for x?

• Add 3 to both sides

• Subtract 15 from both sides

• Multiply both sides by 3

• Divide both sides by 3

What is the value of x in the equation 5x - 4 = 2x + 11?

• x = 3

• x = 5

• x = 7

• x = 15

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

• Combine constant terms on one side

• Isolate the variable on one side

• Distribute any terms outside parentheses

• Add or subtract the variable term with the smaller coefficient from both sides

After moving the variable terms to one side in the equation 3y + 8 = 10y - 6, what is the resulting equation before isolating the constant?

• 8 = 7y - 6

• 8 = 13y - 6

• 8 = -7y - 6

• 8 = 7y + 6

What is the solution for the equation 3y + 8 = 10y - 6?

• y = 1

• y = 2

• y = 7

• y = 14