### Home > AC > Chapter 3 > Lesson 3.1.7 > Problem3-67

3-67.

Paris is trying to solve the equation $3x^2−(2x−4)=3+3x^2+1$. Her work is partially recorded below. Copy her table and fill in her missing work to solve for $x$. Homework Help ✎

 Left Expression Right Expression Explanation $3x^2−(2x−4)$ $3+3x^2+1$ Starting expressions. $3x^2−2x+4$ $3+3x^2+1$ Remove $3x^2$ from both sides. $−2x$ $0$ Divide both sides by $−2$.

To figure out what comes next in the equation, notice what disappears in each step and make sure to
 Left Expression Right Expression Explanation $3x^2−(2x−4)$ $3+3x^2+1$ Starting expressions. $3x^2−2x+4$ $3+3x^2+1$ Flip tiles from “$-$” region to “$+$” region. $-2x+4$ $3+1$ Remove $3x^2$ from both sides. $−2x$ $0$ Take $4$ away from both sides. $x$ $0$ Divide both sides by $−2$.