2(m-2)+3(m+3)=10m-25

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Solution for 2(m-2)+3(m+3)=10m-25 equation:


Simplifying
2(m + -2) + 3(m + 3) = 10m + -25

Reorder the terms:
2(-2 + m) + 3(m + 3) = 10m + -25
(-2 * 2 + m * 2) + 3(m + 3) = 10m + -25
(-4 + 2m) + 3(m + 3) = 10m + -25

Reorder the terms:
-4 + 2m + 3(3 + m) = 10m + -25
-4 + 2m + (3 * 3 + m * 3) = 10m + -25
-4 + 2m + (9 + 3m) = 10m + -25

Reorder the terms:
-4 + 9 + 2m + 3m = 10m + -25

Combine like terms: -4 + 9 = 5
5 + 2m + 3m = 10m + -25

Combine like terms: 2m + 3m = 5m
5 + 5m = 10m + -25

Reorder the terms:
5 + 5m = -25 + 10m

Solving
5 + 5m = -25 + 10m

Solving for variable 'm'.

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

Add '-10m' to each side of the equation.
5 + 5m + -10m = -25 + 10m + -10m

Combine like terms: 5m + -10m = -5m
5 + -5m = -25 + 10m + -10m

Combine like terms: 10m + -10m = 0
5 + -5m = -25 + 0
5 + -5m = -25

Add '-5' to each side of the equation.
5 + -5 + -5m = -25 + -5

Combine like terms: 5 + -5 = 0
0 + -5m = -25 + -5
-5m = -25 + -5

Combine like terms: -25 + -5 = -30
-5m = -30

Divide each side by '-5'.
m = 6

Simplifying
m = 6

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