hi there,
Let's solve your equation step-by-step.
2(x−7)−3(x−4)=1
Step 1: Simplify both sides of the equation.
2(x−7)−3(x−4)=1
(2)(x)+(2)(−7)+(−3)(x)+(−3)(−4)=1(Distribute)
2x+−14+−3x+12=1
(2x+−3x)+(−14+12)=1(Combine Like Terms)
−x+−2=1
−x−2=1
Step 2: Add 2 to both sides.
−x−2+2=1+2
−x=3
Step 3: Divide both sides by -1.
−x
−1
=
3
−1
x=−3
Answer:
x=−3