The correct option is B x=4
Given, the equation is ±5(4x−2)7=10.
Step 1: Multiply both the sides by 7
⇒±5(4x−2)7×7=10×7
⇒±5(4x−2)=70
Case 1: Taking positive sign
⇒5(4x−2)=70
Simplify the left hand side of equation, we get
⇒5×4x−5×2=70⇒20x−10=70
Add 10 to both sides
⇒20x−10+10=70+10⇒20x=80
Divide both the sides by 20
⇒20x20=8020⇒x=20×420
⇒x=4
Case 2: Taking negative sign
⇒−5(4x−2)=70
Simplify the left hand side of equation, we get
⇒−5×4x−(−5×2)=70⇒−20x−(−10)=70⇒−20x+10=70
Subtract 10 from both sides
⇒−20x+10−10=70−10⇒−20x=60
Divide both the sides by -20
⇒−20x−20=60−20⇒x=−3
Hence, solution of the equation ±5(4x−2)7=10 are x=4 and x=−3.