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4\times 4x-15=6\times 3x+10
Multiply both sides of the equation by 12, the least common multiple of 3,4,2,6.
16x-15=6\times 3x+10
Multiply 4 and 4 to get 16.
16x-15=18x+10
Multiply 6 and 3 to get 18.
16x-15-18x=10
Subtract 18x from both sides.
-2x-15=10
Combine 16x and -18x to get -2x.
-2x=10+15
Add 15 to both sides.
-2x=25
Add 10 and 15 to get 25.
x=\frac{25}{-2}
Divide both sides by -2.
x=-\frac{25}{2}
Fraction \frac{25}{-2} can be rewritten as -\frac{25}{2} by extracting the negative sign.