Final answer:
To solve the equation, combine like terms, isolate the variable x, and solve for x.
Step-by-step explanation:
To solve the equation 10x-11+3x-2+3x+1=180, we need to combine like terms and isolate the variable x. First, we can combine the terms with x: 10x+3x+3x = 16x. Next, we can combine the constant terms: -11-2+1 = -12. So, the equation becomes 16x - 12 =180. To isolate x, we can add 12 to both sides: 16x = 192. Finally, we divide both sides by 16 to find the value of x: x = 12.