x+3=5x

The solution is x=3/4.

When x=3/4, 3/4(3/4+3)≠0.

X = 3/4 is the solution of the equation.

(2) Solution: Multiply both sides by 2x-2 at the same time.

2x=3-2(2x-2)

The solution is x=7/6.

When x=7/6, 2×7/6-2≠0

X = 7/6 is the solution of the equation.

(3) Solution: Multiply both sides by (2x+ 1)(2x- 1).

2(2x- 1)=4

The solution is x= 1/2.

When x= 1/2, (2×1/2+1) (2×1/2-1) = 0.

∴x= 1/2 is an increasing root (we call it increasing root here, but it is probably not the solution of the equation elsewhere), and the original equation has no solution.

(4) Solution: Multiply both sides by (x &；; sup2+2x)(x & amp； Sup2-2 times)

3(2 & amp； sup2-2x)= x & amp； Sup2+2 times

The solution is x=4.

When x=4, (4&; sup2+2×4)(4 & amp； sup2-2×4)≠0

X = 4 is the solution of the equation.

(5) Solution: Multiply both sides by (x-3)(x- 1).

x(x- 1)=(x-3)(x- 1)

The solution is x=-3.

When x=-3, (-3-3)(-3- 1)≠0

∴x=-3 is the solution of this equation.

(6) solution: both sides are multiplied by x-2 at the same time.

x-3+2x-2=-3

The solution is x= 1.

When x= 1, 1-2≠0.

So x= 1 is the solution of the equation.

(7) Solution: Multiply both sides by (x &；; sup2+x)(6x+6)

(2x+ 1)(6x+6)= 5(x & amp； sup2+x)

The solution is x=-6/7.

When x=-6/7, [(-6/7)&; sup2+(-6/7)] (6×-6/7+6)≠0

X =-6/7 is the solution of the equation.

(8) Solution: Multiply both sides by 6x-2.

3(3x- 1)-2=5

The solution is x= 10/9.

When x= 10/9, 6× 10/9-2≠0.

X = 10/9 is the solution of the equation.

Attach the answer sheet.

Handmade. I'm exhausted. I played for half an hour.