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

Solution for 2-3(2m+1)=7m equation:

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

Reorder the terms:
2 + -3(1 + 2m) = 7m
2 + (1 * -3 + 2m * -3) = 7m
2 + (-3 + -6m) = 7m

Combine like terms: 2 + -3 = -1
-1 + -6m = 7m

Solving
-1 + -6m = 7m

Solving for variable 'm'.

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

Add '-7m' to each side of the equation.
-1 + -6m + -7m = 7m + -7m

Combine like terms: -6m + -7m = -13m
-1 + -13m = 7m + -7m

Combine like terms: 7m + -7m = 0
-1 + -13m = 0

Add '1' to each side of the equation.
-1 + 1 + -13m = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -13m = 0 + 1
-13m = 0 + 1

Combine like terms: 0 + 1 = 1
-13m = 1

Divide each side by '-13'.
m = -0.07692307692

Simplifying
m = -0.07692307692