Question

Solve the equation

3/2 (2 - 6x) + 1 = 3 – 5x.

Answer 1

x= 1/4

Explanation:

Step 1: Simplify both sides of the equation.

3/2(2−6x)+1=3−5x

(3/2)(2)+(3/2)(−6x)+1=3+−5x (Distribute)

3+−9x+1=3+−5x

(−9x)+(3+1)=−5x+3 (Combine Like Terms)

−9x+4=−5x+3

−9x+4=−5x+3

Step 2: Add 5x to both sides.

−9x+4+5x=−5x+5x+3

−4x+4=3

Step 3: Subtract 4 from both sides.

−4x+4−4=3−4

−4x=−1

Step 4: Divide both sides by -4.

−4x/-4 −4/-4=−1/−4

x= 1/4

Answer 2

x= 1/4

Explanation:

3/2 (2−6x)+1=3−5x

(3/2) (2)+ (3/2) (−6x)+1=3+−5x

3+−9x+1=3+−5x

(−9x)+(3+1)=−5x+3

−9x+4=−5x+3

−9x+4+5x=−5x+3+5x

−4x+4=3

−4x+4−4=3−4

−4x=−1

YOU SUBTRACT -4 ON BOTH SIDES SO YOU'LL GET X= 1/4