Solve for x
x=\frac{4684}{5837}\approx 0.802467021
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1169\left(5x-4\right)-2\left(4x-3\right)=14
Multiply both sides of the equation by 14, the least common multiple of 2,7.
5845x-4676-2\left(4x-3\right)=14
Use the distributive property to multiply 1169 by 5x-4.
5845x-4676-8x+6=14
Use the distributive property to multiply -2 by 4x-3.
5837x-4676+6=14
Combine 5845x and -8x to get 5837x.
5837x-4670=14
Add -4676 and 6 to get -4670.
5837x=14+4670
Add 4670 to both sides.
5837x=4684
Add 14 and 4670 to get 4684.
x=\frac{4684}{5837}
Divide both sides by 5837.
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