Question 204935
Given:
{{{(1-2x/5) = 3(x/2-5)-3}}} Find the value of x: First, simplify both sides.
{{{(5-2x)/5 = 3((x-10)/2)-3}}}
{{{(5-2x)/5 = ((3x-30)/2)-3}}}
{{{(5-2x)/5 = (3x-30-6)/2}}}
{{{(5-2x)/5 = (3x-36)/2}}} Cross-multiply.
{{{2(5-2x) = 5(3x-36)}}} Simplify.
{{{10-4x = 15x-180}}} Add 4x to both sides.
{{{10 = 19x-180}}} Add 180 to both sides.
{{{190 = 19x}}} Finally, divide both sides by 19.
{{{10 = x}}} or {{{highlight(x = 10)}}}