3(m+5)=7(m+1)

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Solution for 3(m+5)=7(m+1) equation: 


Simplifying
3(m + 5) = 7(m + 1)

Reorder the terms:
3(5 + m) = 7(m + 1)
(5 * 3 + m * 3) = 7(m + 1)
(15 + 3m) = 7(m + 1)

Reorder the terms:
15 + 3m = 7(1 + m)
15 + 3m = (1 * 7 + m * 7)
15 + 3m = (7 + 7m)

Solving
15 + 3m = 7 + 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.
15 + 3m + -7m = 7 + 7m + -7m

Combine like terms: 3m + -7m = -4m
15 + -4m = 7 + 7m + -7m

Combine like terms: 7m + -7m = 0
15 + -4m = 7 + 0
15 + -4m = 7

Add '-15' to each side of the equation.
15 + -15 + -4m = 7 + -15

Combine like terms: 15 + -15 = 0
0 + -4m = 7 + -15
-4m = 7 + -15

Combine like terms: 7 + -15 = -8
-4m = -8

Divide each side by '-4'.
m = 2

Simplifying
m = 2

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