Factor out the common term \(2\).
\[\frac{6x-5}{7}=\frac{2(x-1)}{3}+2\]
Multiply both sides by \(21\) (the LCM of \(7, 3\)).
\[3(6x-5)=14(x-1)+42\]
Expand.
\[18x-15=14x-14+42\]
Simplify \(14x-14+42\) to \(14x+28\).
\[18x-15=14x+28\]
Add \(15\) to both sides.
\[18x=14x+28+15\]
Simplify \(14x+28+15\) to \(14x+43\).
\[18x=14x+43\]
Subtract \(14x\) from both sides.
\[18x-14x=43\]
Simplify \(18x-14x\) to \(4x\).
\[4x=43\]
Divide both sides by \(4\).
\[x=\frac{43}{4}\]
Decimal Form: 10.75
x=43/4
