Solve for x
x=3
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7=7\left(2x-5\right)
Variable x cannot be equal to \frac{5}{2} since division by zero is not defined. Multiply both sides of the equation by 2x-5.
7=14x-35
Use the distributive property to multiply 7 by 2x-5.
14x-35=7
Swap sides so that all variable terms are on the left hand side.
14x=7+35
Add 35 to both sides.
14x=42
Add 7 and 35 to get 42.
x=\frac{42}{14}
Divide both sides by 14.
x=3
Divide 42 by 14 to get 3.
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