8m+10=5m-13+2m

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Solution for 8m+10=5m-13+2m equation:


Simplifying
8m + 10 = 5m + -13 + 2m

Reorder the terms:
10 + 8m = 5m + -13 + 2m

Reorder the terms:
10 + 8m = -13 + 5m + 2m

Combine like terms: 5m + 2m = 7m
10 + 8m = -13 + 7m

Solving
10 + 8m = -13 + 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.
10 + 8m + -7m = -13 + 7m + -7m

Combine like terms: 8m + -7m = 1m
10 + 1m = -13 + 7m + -7m

Combine like terms: 7m + -7m = 0
10 + 1m = -13 + 0
10 + 1m = -13

Add '-10' to each side of the equation.
10 + -10 + 1m = -13 + -10

Combine like terms: 10 + -10 = 0
0 + 1m = -13 + -10
1m = -13 + -10

Combine like terms: -13 + -10 = -23
1m = -23

Divide each side by '1'.
m = -23

Simplifying
m = -23

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