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5\left(4x-10\right)=6x-24
Multiply both sides of the equation by 2.
20x-50=6x-24
Use the distributive property to multiply 5 by 4x-10.
20x-50-6x=-24
Subtract 6x from both sides.
14x-50=-24
Combine 20x and -6x to get 14x.
14x=-24+50
Add 50 to both sides.
14x=26
Add -24 and 50 to get 26.
x=\frac{26}{14}
Divide both sides by 14.
x=\frac{13}{7}
Reduce the fraction \frac{26}{14} to lowest terms by extracting and canceling out 2.