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6x-10=5\left(2x+3\right)
Multiply both sides of the equation by 10, the least common multiple of 5,2.
6x-10=10x+15
Use the distributive property to multiply 5 by 2x+3.
6x-10-10x=15
Subtract 10x from both sides.
-4x-10=15
Combine 6x and -10x to get -4x.
-4x=15+10
Add 10 to both sides.
-4x=25
Add 15 and 10 to get 25.
x=\frac{25}{-4}
Divide both sides by -4.
x=-\frac{25}{4}
Fraction \frac{25}{-4} can be rewritten as -\frac{25}{4} by extracting the negative sign.