Final answer:
To solve the equation –3x + 18 = 7x, add 3x to both sides, then divide by 10, giving x = 1.8. Verify the solution by substituting it back into the original equation to ensure both sides are equal.
Step-by-step explanation:
To solve the linear equation –3x + 18 = 7x, we follow these steps:
Add 3x to both sides of the equation to isolate the variable term on one side:
–3x + 18 + 3x = 7x + 3x, which simplifies to 18 = 10x.
Divide both sides by 10 to solve for x:
18 / 10 = x, which simplifies to x = 1.8.
Once you have found the value of x, it's always a good practice to check the answer to see if it is reasonable. Substitute the value back into the original equation to verify:
–3(1.8) + 18 = 7(1.8)
–5.4 + 18 = 12.6
12.6 = 12.6
This confirms that our solution is correct as both sides of the equation are equal.