2(3m-4)=-5(m-2)+4

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


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

Reorder the terms:
2(-4 + 3m) = -5(m + -2) + 4
(-4 * 2 + 3m * 2) = -5(m + -2) + 4
(-8 + 6m) = -5(m + -2) + 4

Reorder the terms:
-8 + 6m = -5(-2 + m) + 4
-8 + 6m = (-2 * -5 + m * -5) + 4
-8 + 6m = (10 + -5m) + 4

Reorder the terms:
-8 + 6m = 10 + 4 + -5m

Combine like terms: 10 + 4 = 14
-8 + 6m = 14 + -5m

Solving
-8 + 6m = 14 + -5m

Solving for variable 'm'.

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

Add '5m' to each side of the equation.
-8 + 6m + 5m = 14 + -5m + 5m

Combine like terms: 6m + 5m = 11m
-8 + 11m = 14 + -5m + 5m

Combine like terms: -5m + 5m = 0
-8 + 11m = 14 + 0
-8 + 11m = 14

Add '8' to each side of the equation.
-8 + 8 + 11m = 14 + 8

Combine like terms: -8 + 8 = 0
0 + 11m = 14 + 8
11m = 14 + 8

Combine like terms: 14 + 8 = 22
11m = 22

Divide each side by '11'.
m = 2

Simplifying
m = 2

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