How do you solve 4x-10=-22?

1 Answer
Jan 29, 2017

color(blue)(x = -3)

Explanation:

4x−10=−22

The unknown variable is x,

To solve for the value of x, we need to do the Golden Rule of Algebra, isolation of the unknown variables by balancing all the side of the equations.

We must isolate x from other terms, like -10
to eliminate -10, we must add +10 on both sides,

4x−10 +10=−22 + 10

then we get,

4x = -12

since, we only need the value of x, we need to transpose the 4 in 4x, by dividing both side of the equation by 4,

(4x)/4=(-12)/4

cancel((4)x)/cancel4=(-12)/4

we get, x = (-12)/4

simplifying the answer, we get, the final answer,

color(blue)(x = -3)