Solve -2(2x + 5) - 3 = -3(x - 1).

Question

anonymous · Answer

X=-16

anonymous · Answer

$$-2(2x+5)-3=-3(x-1)$$
by the distribution property
$$(-2)(2x)+(-2)(5)-3=(-3)(x)+(-3)(-1)$$
$$-4x-10-3=-3x+3$$
$$-4x-13=-3x+3$$
adding 4x-3 to both sides we get
$$-4x-13+4x-3=-3x+3+4x-3$$
$$-16=x$$

anonymous · Answer

−2(2x+5)−3=−3(x−1)

Simplify

−2(2x+5)−3=−3(x−1)

(−2)(2x)+(−2)(5)+−3=(−3)(x)+(−3)(−1)(Distribute)

−4x+−10+−3=−3x+3

(−4x)+(−10+−3)=−3x+3(Combine Like Terms)

−4x+−13=−3x+3

−4x−13=−3x+3

Add 3x to both sides.

−4x−13+3x=−3x+3+3x

−x−13=3

Add 13 to both sides.

−x−13+13=3+13

−x=16

Divide both sides by -1.
−x/−1 = 16 /−1

x=−16