Solve for x
x = \frac{33}{16} = 2\frac{1}{16} = 2.0625
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2\left(2x-3\right)=6-3\left(4x-7\right)
Multiply both sides of the equation by 6, the least common multiple of 3,2.
4x-6=6-3\left(4x-7\right)
Use the distributive property to multiply 2 by 2x-3.
4x-6=6-12x+21
Use the distributive property to multiply -3 by 4x-7.
4x-6=27-12x
Add 6 and 21 to get 27.
4x-6+12x=27
Add 12x to both sides.
16x-6=27
Combine 4x and 12x to get 16x.
16x=27+6
Add 6 to both sides.
16x=33
Add 27 and 6 to get 33.
x=\frac{33}{16}
Divide both sides by 16.
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