Question 150824
{{{abs(-10x + 70) = abs(8x - 74)}}}
My algebra book tells me this equation is true if both
{{{-10x + 70 = +(8x - 74)}}} and
{{{-10x + 70 = -(8x - 74)}}} are true
I'll solve the 1st one
{{{-10x + 70 = 8x - 74}}}
{{{18x = 70 + 74}}}
{{{18x = 144}}}
{{{x = 8}}}
And the second one,
{{{-10x + 70 = -8x + 74}}}
{{{2x = -4}}}
{{{x = -2}}}
To check, I'll plug these back into the original equation
{{{abs(-10x + 70) = abs(8x - 74)}}}
{{{abs(-10*8 + 70) = abs(8*8 - 74)}}}
{{{abs(-10) = abs(-10)}}}
{{{10 = 10}}}
OK
Also,
{{{abs(-10x + 70) = abs(8x - 74)}}}
{{{abs(-10*(-2) + 70) = abs(8*(-2) - 74)}}}
{{{abs(90) = abs(90)}}}
{{{90 = 90}}}
OK
x = 8 and x = -2 are the solutions