(6m-3)2=4-2(m+1)

Solution for (6m-3)2=4-2(m+1) equation:

Simplifying
(6m + -3) * 2 = 4 + -2(m + 1)

Reorder the terms:
(-3 + 6m) * 2 = 4 + -2(m + 1)

Reorder the terms for easier multiplication:
2(-3 + 6m) = 4 + -2(m + 1)
(-3 * 2 + 6m * 2) = 4 + -2(m + 1)
(-6 + 12m) = 4 + -2(m + 1)

Reorder the terms:
-6 + 12m = 4 + -2(1 + m)
-6 + 12m = 4 + (1 * -2 + m * -2)
-6 + 12m = 4 + (-2 + -2m)

Combine like terms: 4 + -2 = 2
-6 + 12m = 2 + -2m

Solving
-6 + 12m = 2 + -2m

Solving for variable 'm'.

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

Add '2m' to each side of the equation.
-6 + 12m + 2m = 2 + -2m + 2m

Combine like terms: 12m + 2m = 14m
-6 + 14m = 2 + -2m + 2m

Combine like terms: -2m + 2m = 0
-6 + 14m = 2 + 0
-6 + 14m = 2

Add '6' to each side of the equation.
-6 + 6 + 14m = 2 + 6

Combine like terms: -6 + 6 = 0
0 + 14m = 2 + 6
14m = 2 + 6

Combine like terms: 2 + 6 = 8
14m = 8

Divide each side by '14'.
m = 0.5714285714

Simplifying
m = 0.5714285714