7 + 3(1 - x) = 5 - 2(3 - 4x)

X = 1

Step-by-step explanation:

7+3(1−x)=5−2(3−4x)

Step 1: Simplify both sides of the equation.

7+3(1−x)=5−2(3−4x)

7+(3)(1)+(3)(−x)=5+(−2)(3)+(−2)(−4x)(Distribute)

7+3+−3x=5+−6+8x

(−3x)+(7+3)=(8x)+(5+−6)(Combine Like Terms)

−3x+10=8x+−1

−3x+10=8x−1

Step 2: Subtract 8x from both sides.

−3x+10−8x=8x−1−8x

−11x+10=−1

Step 3: Subtract 10 from both sides.

−11x+10−10=−1−10

−11x=−11

Step 4: Divide both sides by -11.

x=1