7m+10(m+1)+17=4(2m-1)+4

Solution for 7m+10(m+1)+17=4(2m-1)+4 equation:

Simplifying
7m + 10(m + 1) + 17 = 4(2m + -1) + 4

Reorder the terms:
7m + 10(1 + m) + 17 = 4(2m + -1) + 4
7m + (1 * 10 + m * 10) + 17 = 4(2m + -1) + 4
7m + (10 + 10m) + 17 = 4(2m + -1) + 4

Reorder the terms:
10 + 17 + 7m + 10m = 4(2m + -1) + 4

Combine like terms: 10 + 17 = 27
27 + 7m + 10m = 4(2m + -1) + 4

Combine like terms: 7m + 10m = 17m
27 + 17m = 4(2m + -1) + 4

Reorder the terms:
27 + 17m = 4(-1 + 2m) + 4
27 + 17m = (-1 * 4 + 2m * 4) + 4
27 + 17m = (-4 + 8m) + 4

Reorder the terms:
27 + 17m = -4 + 4 + 8m

Combine like terms: -4 + 4 = 0
27 + 17m = 0 + 8m
27 + 17m = 8m

Solving
27 + 17m = 8m

Solving for variable 'm'.

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

Add '-8m' to each side of the equation.
27 + 17m + -8m = 8m + -8m

Combine like terms: 17m + -8m = 9m
27 + 9m = 8m + -8m

Combine like terms: 8m + -8m = 0
27 + 9m = 0

Add '-27' to each side of the equation.
27 + -27 + 9m = 0 + -27

Combine like terms: 27 + -27 = 0
0 + 9m = 0 + -27
9m = 0 + -27

Combine like terms: 0 + -27 = -27
9m = -27

Divide each side by '9'.
m = -3

Simplifying
m = -3