3(2m-5)-4(2m-9)=13

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Solution for 3(2m-5)-4(2m-9)=13 equation:


Simplifying
3(2m + -5) + -4(2m + -9) = 13

Reorder the terms:
3(-5 + 2m) + -4(2m + -9) = 13
(-5 * 3 + 2m * 3) + -4(2m + -9) = 13
(-15 + 6m) + -4(2m + -9) = 13

Reorder the terms:
-15 + 6m + -4(-9 + 2m) = 13
-15 + 6m + (-9 * -4 + 2m * -4) = 13
-15 + 6m + (36 + -8m) = 13

Reorder the terms:
-15 + 36 + 6m + -8m = 13

Combine like terms: -15 + 36 = 21
21 + 6m + -8m = 13

Combine like terms: 6m + -8m = -2m
21 + -2m = 13

Solving
21 + -2m = 13

Solving for variable 'm'.

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

Add '-21' to each side of the equation.
21 + -21 + -2m = 13 + -21

Combine like terms: 21 + -21 = 0
0 + -2m = 13 + -21
-2m = 13 + -21

Combine like terms: 13 + -21 = -8
-2m = -8

Divide each side by '-2'.
m = 4

Simplifying
m = 4

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