2-(4m+7)=3+2(m+2)

Solution for 2-(4m+7)=3+2(m+2) equation:

Simplifying
2 + -1(4m + 7) = 3 + 2(m + 2)

Reorder the terms:
2 + -1(7 + 4m) = 3 + 2(m + 2)
2 + (7 * -1 + 4m * -1) = 3 + 2(m + 2)
2 + (-7 + -4m) = 3 + 2(m + 2)

Combine like terms: 2 + -7 = -5
-5 + -4m = 3 + 2(m + 2)

Reorder the terms:
-5 + -4m = 3 + 2(2 + m)
-5 + -4m = 3 + (2 * 2 + m * 2)
-5 + -4m = 3 + (4 + 2m)

Combine like terms: 3 + 4 = 7
-5 + -4m = 7 + 2m

Solving
-5 + -4m = 7 + 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.
-5 + -4m + -2m = 7 + 2m + -2m

Combine like terms: -4m + -2m = -6m
-5 + -6m = 7 + 2m + -2m

Combine like terms: 2m + -2m = 0
-5 + -6m = 7 + 0
-5 + -6m = 7

Add '5' to each side of the equation.
-5 + 5 + -6m = 7 + 5

Combine like terms: -5 + 5 = 0
0 + -6m = 7 + 5
-6m = 7 + 5

Combine like terms: 7 + 5 = 12
-6m = 12

Divide each side by '-6'.
m = -2

Simplifying
m = -2