Final answer:
To solve the equation 5(x + 2) = 6x - 3x - 14, simplify both sides by distributing and combining like terms. Then isolate the variable and solve for x.
Step-by-step explanation:
To solve the equation 5(x + 2) = 6x - 3x - 14, we start by simplifying both sides of the equation. On the left side, we distribute the 5 to both terms inside the parentheses, giving us 5x + 10. On the right side, we combine like terms, resulting in 3x - 14. Now we can combine the x terms by subtracting 3x from both sides, giving us 2x + 10 = -14. Next, we isolate the variable by subtracting 10 from both sides, which gives us 2x = -24. Finally, we solve for x by dividing both sides by 2, giving us x = -12.