Question 259272
Given: {{{-2X + 19 = 8X - 1}}}

Solution
----------
Add 2x to both sides
{{{2x - 2X + 19 = 8X - 1 + 2x}}} Combine like terms
{{{19 = 10X - 1}}}Add 1 to both sides
{{{1 + 19 = 10X - 1 + 1}}} Combine like terms
{{{20 = 10X}}} Divide both sides by 10
{{{highlight(2 = X)}}}

Check the Answer
----------------
Now plug 2 in for X into the given equation
{{{-2X + 19 = 8X - 1}}}
{{{-2*(2) + 19 = 8*(2) - 1}}} Simplify
{{{-4 + 19 = 16 - 1}}} Simplify
{{{highlight(15 = 15)}}}
Therefore the answer is correct