Final answer:
The equation 7(x+1)-8x = -19 is solved by distributing the 7, combining like terms, and isolating x. After simplifying, we find that the solution to the equation is x = 26.
Step-by-step explanation:
To solve the equation 7(x+1)-8x = -19, we need to simplify and solve for x. Let's break it down step by step:
- Distribute the 7 into the parentheses: 7 * x + 7 * 1 - 8x = -19, which simplifies to 7x + 7 - 8x = -19.
- Combine like terms: Since 7x and -8x are like terms, we combine them to get -x + 7 = -19.
- Subtract 7 from both sides of the equation: -x + 7 - 7 = -19 - 7, which results in -x = -26.
- Divide both sides by -1 to solve for x: -x / -1 = -26 / -1, which gives us x = 26.
By following these steps, we find that x = 26 is the solution to the equation.
It's always important to eliminate terms wherever possible to simplify the algebra and check the answer to see if it is reasonable, which we have done here.