How do you solve #101+ 14x = - 151#?

1 Answer
Jun 4, 2017

Rearrange the equation so the ‘x’ is alone on one side, and the ‘solution’ is then on the other side.

Explanation:

This is done by performing the same algebraic function on both sides of the equation to keep the equality valid while changing the numbers or expressions that we are working with.

# 101 + 14*x = −151#

First, we subtract 101 from both sides:

# 101 – 101 + 14*x = −151 - 101# ; #14*x = −252#

Then we divide both sides by 14:

#(14*x)/14 = −252/14# ; #x = -18#

CHECK: # 101 + 14*(-18) = −151#
# 101 - 252 = −151# ; # -151 = −151# Correct!