Step-by-step explanation:
Let's solve your equation step-by-step.
−4(x+10)−6=−3(x−2)
Step 1: Simplify both sides of the equation.
−4(x+10)−6=−3(x−2)
(−4)(x)+(−4)(10)+−6=(−3)(x)+(−3)(−2)(Distribute)
−4x+−40+−6=−3x+6
(−4x)+(−40+−6)=−3x+6(Combine Like Terms)
−4x+−46=−3x+6
−4x−46=−3x+6
Step 2: Add 3x to both sides.
−4x−46+3x=−3x+6+3x
−x−46=6
Step 3: Add 46 to both sides.
−x−46+46=6+46
−x=52
Step 4: Divide both sides by -1.
−x
−1
=
52
−1
x=−52
Answer:
x=−52
