Final answer:
To solve the equations, isolate the variable terms on one side and the constant terms on the other side. Simplify the equations and perform the necessary arithmetic operations to solve for x.
Step-by-step explanation:
a) Solving 4x + 3 = 2x + 7
To solve this equation, we can start by isolating the variable terms on one side of the equation and the constant terms on the other side. Subtracting 2x from both sides gives us 4x - 2x + 3 = 7. Simplifying, we have 2x + 3 = 7. Next, subtracting 3 from both sides gives us 2x = 4. Finally, dividing both sides by 2 gives us x = 2.
b) Solving 2x + 6 = 7x - 14
To solve this equation, we can start by isolating the variable terms on one side of the equation and the constant terms on the other side. Subtracting 2x from both sides gives us 2x - 7x = -14 - 6. Simplifying, we have -5x = -20. Next, dividing both sides by -5 gives us x = 4.
Learn more about Solving Linear Equations