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

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


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

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

Reorder the terms:
4 + -5m + 2m = m + 4(2m + -5)

Combine like terms: -5m + 2m = -3m
4 + -3m = m + 4(2m + -5)

Reorder the terms:
4 + -3m = m + 4(-5 + 2m)
4 + -3m = m + (-5 * 4 + 2m * 4)
4 + -3m = m + (-20 + 8m)

Reorder the terms:
4 + -3m = -20 + m + 8m

Combine like terms: m + 8m = 9m
4 + -3m = -20 + 9m

Solving
4 + -3m = -20 + 9m

Solving for variable 'm'.

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

Add '-9m' to each side of the equation.
4 + -3m + -9m = -20 + 9m + -9m

Combine like terms: -3m + -9m = -12m
4 + -12m = -20 + 9m + -9m

Combine like terms: 9m + -9m = 0
4 + -12m = -20 + 0
4 + -12m = -20

Add '-4' to each side of the equation.
4 + -4 + -12m = -20 + -4

Combine like terms: 4 + -4 = 0
0 + -12m = -20 + -4
-12m = -20 + -4

Combine like terms: -20 + -4 = -24
-12m = -24

Divide each side by '-12'.
m = 2

Simplifying
m = 2

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