Answer:
x=−5
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−2(4x+3)−(x−7)=46
−2(4x+3)+−1(x−7)=46(Distribute the Negative Sign)
−2(4x+3)+−1x+(−1)(−7)=46
−2(4x+3)+−x+7=46
(−2)(4x)+(−2)(3)+−x+7=46(Distribute)
−8x+−6+−x+7=46
(−8x+−x)+(−6+7)=46(Combine Like Terms)
−9x+1=46
−9x+1=46
Step 2: Subtract 1 from both sides.
−9x+1−1=46−1
−9x=45
Step 3: Divide both sides by -9.
−9x
−9
=
45
−9
x=−5