7(m+1)-5=6(m+1)+1

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Solution for 7(m+1)-5=6(m+1)+1 equation: 


Simplifying
7(m + 1) + -5 = 6(m + 1) + 1

Reorder the terms:
7(1 + m) + -5 = 6(m + 1) + 1
(1 * 7 + m * 7) + -5 = 6(m + 1) + 1
(7 + 7m) + -5 = 6(m + 1) + 1

Reorder the terms:
7 + -5 + 7m = 6(m + 1) + 1

Combine like terms: 7 + -5 = 2
2 + 7m = 6(m + 1) + 1

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

Reorder the terms:
2 + 7m = 6 + 1 + 6m

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

Solving
2 + 7m = 7 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
2 + 7m + -6m = 7 + 6m + -6m

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

Combine like terms: 6m + -6m = 0
2 + 1m = 7 + 0
2 + 1m = 7

Add '-2' to each side of the equation.
2 + -2 + 1m = 7 + -2

Combine like terms: 2 + -2 = 0
0 + 1m = 7 + -2
1m = 7 + -2

Combine like terms: 7 + -2 = 5
1m = 5

Divide each side by '1'.
m = 5

Simplifying
m = 5

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