Break down the problem into these 2 equations.
\[2x-3=(x-5)+\]
\[2x-3=-(x-5)+\]
Solve the 1st equation: \(2x-3=(x-5)+\).
Remove parentheses.
\[2x-3=x-5+\]
Subtract \(x\) from both sides.
\[2x-3-x=-5+\]
Simplify \(2x-3-x\) to \(x-3\).
\[x-3=-5+\]
Add \(3\) to both sides.
\[x=-5+3\]
Simplify \(-5+3\) to \(-2\).
\[x=-2\]
\[x=-2\]
Solve the 2nd equation: \(2x-3=-(x-5)+\).
Remove parentheses.
\[2x-3=-x+5+\]
Regroup terms.
\[2x-3=5-x\]
Add \(3\) to both sides.
\[2x=5-x+3\]
Simplify \(5-x+3\) to \(8-x\).
\[2x=8-x\]
Add \(x\) to both sides.
\[2x+x=8\]
Simplify \(2x+x\) to \(3x\).
\[3x=8\]
Divide both sides by \(3\).
\[x=\frac{8}{3}\]
\[x=\frac{8}{3}\]
Collect all solutions.
\[x=-2,\frac{8}{3}\]
Decimal Form: -2, 2.666667
x=-2,8/3
