6x+1=(2x-1)(m+3)

Solution for 6x+1=(2x-1)(m+3) equation:

Simplifying
6x + 1 = (2x + -1)(m + 3)

Reorder the terms:
1 + 6x = (2x + -1)(m + 3)

Reorder the terms:
1 + 6x = (-1 + 2x)(m + 3)

Reorder the terms:
1 + 6x = (-1 + 2x)(3 + m)

Multiply (-1 + 2x) * (3 + m)
1 + 6x = (-1(3 + m) + 2x * (3 + m))
1 + 6x = ((3 * -1 + m * -1) + 2x * (3 + m))
1 + 6x = ((-3 + -1m) + 2x * (3 + m))
1 + 6x = (-3 + -1m + (3 * 2x + m * 2x))

Reorder the terms:
1 + 6x = (-3 + -1m + (2mx + 6x))
1 + 6x = (-3 + -1m + (2mx + 6x))
1 + 6x = (-3 + -1m + 2mx + 6x)

Add '-6x' to each side of the equation.
1 + 6x + -6x = -3 + -1m + 2mx + 6x + -6x

Combine like terms: 6x + -6x = 0
1 + 0 = -3 + -1m + 2mx + 6x + -6x
1 = -3 + -1m + 2mx + 6x + -6x

Combine like terms: 6x + -6x = 0
1 = -3 + -1m + 2mx + 0
1 = -3 + -1m + 2mx

Solving
1 = -3 + -1m + 2mx

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add 'm' to each side of the equation.
1 + m = -3 + -1m + m + 2mx

Combine like terms: -1m + m = 0
1 + m = -3 + 0 + 2mx
1 + m = -3 + 2mx

Add '-2mx' to each side of the equation.
1 + m + -2mx = -3 + 2mx + -2mx

Combine like terms: 2mx + -2mx = 0
1 + m + -2mx = -3 + 0
1 + m + -2mx = -3

Add '-1' to each side of the equation.
1 + m + -1 + -2mx = -3 + -1

Reorder the terms:
1 + -1 + m + -2mx = -3 + -1

Combine like terms: 1 + -1 = 0
0 + m + -2mx = -3 + -1
m + -2mx = -3 + -1

Combine like terms: -3 + -1 = -4
m + -2mx = -4

Reorder the terms:
4 + m + -2mx = -4 + 4

Combine like terms: -4 + 4 = 0
4 + m + -2mx = 0

The solution to this equation could not be determined.