Solve for x
x = \frac{20}{17} = 1\frac{3}{17} \approx 1.176470588
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4\left(2x-1\right)+3\left(3x-2\right)=10
Multiply both sides of the equation by 12, the least common multiple of 3,4,6.
8x-4+3\left(3x-2\right)=10
Use the distributive property to multiply 4 by 2x-1.
8x-4+9x-6=10
Use the distributive property to multiply 3 by 3x-2.
17x-4-6=10
Combine 8x and 9x to get 17x.
17x-10=10
Subtract 6 from -4 to get -10.
17x=10+10
Add 10 to both sides.
17x=20
Add 10 and 10 to get 20.
x=\frac{20}{17}
Divide both sides by 17.
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