Question

solve4x+5\6x-1=3+2x\6x-1

Answer 1

Answer:

X = -1

Step-by-step explanation:

4x+5/6x-1 = 3+2x/6x-1

we cancel both 6x - 1 by taking them to the otherside where it becomes 3+2x/6x-1 x 6x-1

so now we have

4x+5 = 3+2x

4x - 2x = 3-5

2x = -2

X = -1

Answer 2

$\sf\frac{4x + 5}{6x - 1} = \frac{3 + 2x}{6x - 1} \\ \sf 4x + 5(6x - 1) = 3 + 2x(6x - 1) \\ \sf24 {x}^{2} + 30x - 4x - 5 = 18x + 12 {x}^{2} - 3 - 2x \\ \sf24 {x}^{2} + 26x - 5 = 12 {x}^{2} + 16x - 3 \\ \sf24 {x}^{2} - 12 {x}^{2} + 26x - 16x - 5 + 3 \\ \sf \cancel12 {x}^{2} + \cancel10x - \cancel2 \: \: \: \: \: \: \: \div 2 \\ \sf6 {x}^{2} + 5x - 1 \\ \sf6 {x}^{2} + 6x - x - 1 \\ \sf6x(x + 1) - 1(x + 1) \\ \sf(6x - 1)(x + 1) \\ \sf x = \frac{1}{6} \: \: \: \: x = - 1$