5(m-6)+3m=7m+10

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Solution for 5(m-6)+3m=7m+10 equation:


Simplifying
5(m + -6) + 3m = 7m + 10

Reorder the terms:
5(-6 + m) + 3m = 7m + 10
(-6 * 5 + m * 5) + 3m = 7m + 10
(-30 + 5m) + 3m = 7m + 10

Combine like terms: 5m + 3m = 8m
-30 + 8m = 7m + 10

Reorder the terms:
-30 + 8m = 10 + 7m

Solving
-30 + 8m = 10 + 7m

Solving for variable 'm'.

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

Add '-7m' to each side of the equation.
-30 + 8m + -7m = 10 + 7m + -7m

Combine like terms: 8m + -7m = 1m
-30 + 1m = 10 + 7m + -7m

Combine like terms: 7m + -7m = 0
-30 + 1m = 10 + 0
-30 + 1m = 10

Add '30' to each side of the equation.
-30 + 30 + 1m = 10 + 30

Combine like terms: -30 + 30 = 0
0 + 1m = 10 + 30
1m = 10 + 30

Combine like terms: 10 + 30 = 40
1m = 40

Divide each side by '1'.
m = 40

Simplifying
m = 40

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