5x+2(m-2)=m+40

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Solution for 5x+2(m-2)=m+40 equation:


Simplifying
5x + 2(m + -2) = m + 40

Reorder the terms:
5x + 2(-2 + m) = m + 40
5x + (-2 * 2 + m * 2) = m + 40
5x + (-4 + 2m) = m + 40

Reorder the terms:
-4 + 2m + 5x = m + 40

Reorder the terms:
-4 + 2m + 5x = 40 + m

Solving
-4 + 2m + 5x = 40 + m

Solving for variable 'm'.

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

Add '-1m' to each side of the equation.
-4 + 2m + -1m + 5x = 40 + m + -1m

Combine like terms: 2m + -1m = 1m
-4 + 1m + 5x = 40 + m + -1m

Combine like terms: m + -1m = 0
-4 + 1m + 5x = 40 + 0
-4 + 1m + 5x = 40

Add '4' to each side of the equation.
-4 + 1m + 4 + 5x = 40 + 4

Reorder the terms:
-4 + 4 + 1m + 5x = 40 + 4

Combine like terms: -4 + 4 = 0
0 + 1m + 5x = 40 + 4
1m + 5x = 40 + 4

Combine like terms: 40 + 4 = 44
1m + 5x = 44

Add '-5x' to each side of the equation.
1m + 5x + -5x = 44 + -5x

Combine like terms: 5x + -5x = 0
1m + 0 = 44 + -5x
1m = 44 + -5x

Divide each side by '1'.
m = 44 + -5x

Simplifying
m = 44 + -5x

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