Final answer:
The value of x that makes the equation 3x-35=-2(-6x+3)+7 true is x = -4.
Step-by-step explanation:
To find the value of x that makes the equation 3x-35=-2(-6x+3)+7 true, we need to simplify and solve for x. First, distribute the -2 to the terms inside the parentheses: -2(-6x+3) becomes 12x - 6. Next, combine like terms on both sides of the equation: 3x - 35 = 12x - 6 + 7 becomes 3x - 35 = 12x + 1. Subtract 3x from both sides to isolate the variable: -35 = 9x + 1. Finally, subtract 1 from both sides and divide by 9 to solve for x: -36 = 9x, x = -4.
Learn more about Solving linear equations