-7m+21-5(m-1)=8m-(4m-3)-9m+2

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Solution for -7m+21-5(m-1)=8m-(4m-3)-9m+2 equation:


Simplifying
-7m + 21 + -5(m + -1) = 8m + -1(4m + -3) + -9m + 2

Reorder the terms:
-7m + 21 + -5(-1 + m) = 8m + -1(4m + -3) + -9m + 2
-7m + 21 + (-1 * -5 + m * -5) = 8m + -1(4m + -3) + -9m + 2
-7m + 21 + (5 + -5m) = 8m + -1(4m + -3) + -9m + 2

Reorder the terms:
21 + 5 + -7m + -5m = 8m + -1(4m + -3) + -9m + 2

Combine like terms: 21 + 5 = 26
26 + -7m + -5m = 8m + -1(4m + -3) + -9m + 2

Combine like terms: -7m + -5m = -12m
26 + -12m = 8m + -1(4m + -3) + -9m + 2

Reorder the terms:
26 + -12m = 8m + -1(-3 + 4m) + -9m + 2
26 + -12m = 8m + (-3 * -1 + 4m * -1) + -9m + 2
26 + -12m = 8m + (3 + -4m) + -9m + 2

Reorder the terms:
26 + -12m = 3 + 2 + 8m + -4m + -9m

Combine like terms: 3 + 2 = 5
26 + -12m = 5 + 8m + -4m + -9m

Combine like terms: 8m + -4m = 4m
26 + -12m = 5 + 4m + -9m

Combine like terms: 4m + -9m = -5m
26 + -12m = 5 + -5m

Solving
26 + -12m = 5 + -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.
26 + -12m + 5m = 5 + -5m + 5m

Combine like terms: -12m + 5m = -7m
26 + -7m = 5 + -5m + 5m

Combine like terms: -5m + 5m = 0
26 + -7m = 5 + 0
26 + -7m = 5

Add '-26' to each side of the equation.
26 + -26 + -7m = 5 + -26

Combine like terms: 26 + -26 = 0
0 + -7m = 5 + -26
-7m = 5 + -26

Combine like terms: 5 + -26 = -21
-7m = -21

Divide each side by '-7'.
m = 3

Simplifying
m = 3

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