4[7-(2m+5)]-10=5(2-m)

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Solution for 4[7-(2m+5)]-10=5(2-m) equation:


Simplifying
4[7 + -1(2m + 5)] + -10 = 5(2 + -1m)

Reorder the terms:
4[7 + -1(5 + 2m)] + -10 = 5(2 + -1m)
4[7 + (5 * -1 + 2m * -1)] + -10 = 5(2 + -1m)
4[7 + (-5 + -2m)] + -10 = 5(2 + -1m)

Combine like terms: 7 + -5 = 2
4[2 + -2m] + -10 = 5(2 + -1m)
[2 * 4 + -2m * 4] + -10 = 5(2 + -1m)
[8 + -8m] + -10 = 5(2 + -1m)

Reorder the terms:
8 + -10 + -8m = 5(2 + -1m)

Combine like terms: 8 + -10 = -2
-2 + -8m = 5(2 + -1m)
-2 + -8m = (2 * 5 + -1m * 5)
-2 + -8m = (10 + -5m)

Solving
-2 + -8m = 10 + -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.
-2 + -8m + 5m = 10 + -5m + 5m

Combine like terms: -8m + 5m = -3m
-2 + -3m = 10 + -5m + 5m

Combine like terms: -5m + 5m = 0
-2 + -3m = 10 + 0
-2 + -3m = 10

Add '2' to each side of the equation.
-2 + 2 + -3m = 10 + 2

Combine like terms: -2 + 2 = 0
0 + -3m = 10 + 2
-3m = 10 + 2

Combine like terms: 10 + 2 = 12
-3m = 12

Divide each side by '-3'.
m = -4

Simplifying
m = -4

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