Solve for x
x=4
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2x-5=3x-3+\left(x-2\right)\left(-3\right)
Variable x cannot be equal to 2 since division by zero is not defined. Multiply both sides of the equation by x-2, the least common multiple of x-2,2-x.
2x-5=3x-3-3x+6
Use the distributive property to multiply x-2 by -3.
2x-5=-3+6
Combine 3x and -3x to get 0.
2x-5=3
Add -3 and 6 to get 3.
2x=3+5
Add 5 to both sides.
2x=8
Add 3 and 5 to get 8.
x=\frac{8}{2}
Divide both sides by 2.
x=4
Divide 8 by 2 to get 4.
Examples
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y = 3x + 4
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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