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)#