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

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


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

Reorder the terms:
2(-7 + m) = 3(m + 1)
(-7 * 2 + m * 2) = 3(m + 1)
(-14 + 2m) = 3(m + 1)

Reorder the terms:
-14 + 2m = 3(1 + m)
-14 + 2m = (1 * 3 + m * 3)
-14 + 2m = (3 + 3m)

Solving
-14 + 2m = 3 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
-14 + 2m + -3m = 3 + 3m + -3m

Combine like terms: 2m + -3m = -1m
-14 + -1m = 3 + 3m + -3m

Combine like terms: 3m + -3m = 0
-14 + -1m = 3 + 0
-14 + -1m = 3

Add '14' to each side of the equation.
-14 + 14 + -1m = 3 + 14

Combine like terms: -14 + 14 = 0
0 + -1m = 3 + 14
-1m = 3 + 14

Combine like terms: 3 + 14 = 17
-1m = 17

Divide each side by '-1'.
m = -17

Simplifying
m = -17

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