Answer: x=2
Step-by-step explanation: Let's solve your equation step-by-step.
4(2x−3)+2=−3(−10+4x)
Step 1: Simplify both sides of the equation.
4(2x−3)+2=−3(−10+4x)
(4)(2x)+(4)(−3)+2=(−3)(−10)+(−3)(4x)(Distribute)
8x+−12+2=30+−12x
(8x)+(−12+2)=−12x+30(Combine Like Terms)
8x+−10=−12x+30
8x−10=−12x+30
Step 2: Add 12x to both sides.
8x−10+12x=−12x+30+12x
20x−10=30
Step 3: Add 10 to both sides.
20x−10+10=30+10
20x=40
Step 4: Divide both sides by 20.
20x
20
=
40
20
x=2
