Final answer:
The solution to the equation 2x - 7 - 2(12x - 9) = 15 is found by distributing, combining like terms, and isolating x to get x = -2 / 11.
Step-by-step explanation:
Mr. Whitehead wrote the equation 2x - 7 - 2(12x - 9) = 15 on the board. To find the solution to the equation, we need to follow these steps:
Distribute the -2 across the terms inside the parentheses: 2x - 7 - (24x - 18) = 15.
Combine like terms: 2x - 24x + 18 - 7 = 15.
Simplify: -22x + 11 = 15.
Subtract 11 from both sides: -22x = 4.
Divide both sides by -22 to find the value of x: x = -4 / 22.
Simplify the fraction to get the final answer: x = -2 / 11.
The solution to the equation is x = -2 / 11.