2(3m-5)=7m+2

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Solution for 2(3m-5)=7m+2 equation:


Simplifying
2(3m + -5) = 7m + 2

Reorder the terms:
2(-5 + 3m) = 7m + 2
(-5 * 2 + 3m * 2) = 7m + 2
(-10 + 6m) = 7m + 2

Reorder the terms:
-10 + 6m = 2 + 7m

Solving
-10 + 6m = 2 + 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 + 6m + -7m = 2 + 7m + -7m

Combine like terms: 6m + -7m = -1m
-10 + -1m = 2 + 7m + -7m

Combine like terms: 7m + -7m = 0
-10 + -1m = 2 + 0
-10 + -1m = 2

Add '10' to each side of the equation.
-10 + 10 + -1m = 2 + 10

Combine like terms: -10 + 10 = 0
0 + -1m = 2 + 10
-1m = 2 + 10

Combine like terms: 2 + 10 = 12
-1m = 12

Divide each side by '-1'.
m = -12

Simplifying
m = -12

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