6(m-2)+14=3(m+2)-1

Solution for 6(m-2)+14=3(m+2)-1 equation:

Simplifying
6(m + -2) + 14 = 3(m + 2) + -1

Reorder the terms:
6(-2 + m) + 14 = 3(m + 2) + -1
(-2 * 6 + m * 6) + 14 = 3(m + 2) + -1
(-12 + 6m) + 14 = 3(m + 2) + -1

Reorder the terms:
-12 + 14 + 6m = 3(m + 2) + -1

Combine like terms: -12 + 14 = 2
2 + 6m = 3(m + 2) + -1

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

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

Combine like terms: 6 + -1 = 5
2 + 6m = 5 + 3m

Solving
2 + 6m = 5 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
2 + 6m + -3m = 5 + 3m + -3m

Combine like terms: 6m + -3m = 3m
2 + 3m = 5 + 3m + -3m

Combine like terms: 3m + -3m = 0
2 + 3m = 5 + 0
2 + 3m = 5

Add '-2' to each side of the equation.
2 + -2 + 3m = 5 + -2

Combine like terms: 2 + -2 = 0
0 + 3m = 5 + -2
3m = 5 + -2

Combine like terms: 5 + -2 = 3
3m = 3

Divide each side by '3'.
m = 1

Simplifying
m = 1