Answer: x=2
Step-by-step explanation:Step 1: Simplify both sides of the equation.
3−(3x−4)=2x+3(3x−7)
3+−1(3x−4)=2x+3(3x−7)(Distribute the Negative Sign)
3+−1(3x)+(−1)(−4)=2x+3(3x−7)
3+−3x+4=2x+3(3x−7)
3+−3x+4=2x+(3)(3x)+(3)(−7)(Distribute)
3+−3x+4=2x+9x+−21
(−3x)+(3+4)=(2x+9x)+(−21)(Combine Like Terms)
−3x+7=11x+−21
−3x+7=11x−21
Step 2: Subtract 11x from both sides.
−3x+7−11x=11x−21−11x
−14x+7=−21
Step 3: Subtract 7 from both sides.
−14x+7−7=−21−7
−14x=−28
Step 4: Divide both sides by -14.
−14x
−14
=
−28
−14
x=2
