4(2m+5)-7=5(m+5)

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


Simplifying
4(2m + 5) + -7 = 5(m + 5)

Reorder the terms:
4(5 + 2m) + -7 = 5(m + 5)
(5 * 4 + 2m * 4) + -7 = 5(m + 5)
(20 + 8m) + -7 = 5(m + 5)

Reorder the terms:
20 + -7 + 8m = 5(m + 5)

Combine like terms: 20 + -7 = 13
13 + 8m = 5(m + 5)

Reorder the terms:
13 + 8m = 5(5 + m)
13 + 8m = (5 * 5 + m * 5)
13 + 8m = (25 + 5m)

Solving
13 + 8m = 25 + 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.
13 + 8m + -5m = 25 + 5m + -5m

Combine like terms: 8m + -5m = 3m
13 + 3m = 25 + 5m + -5m

Combine like terms: 5m + -5m = 0
13 + 3m = 25 + 0
13 + 3m = 25

Add '-13' to each side of the equation.
13 + -13 + 3m = 25 + -13

Combine like terms: 13 + -13 = 0
0 + 3m = 25 + -13
3m = 25 + -13

Combine like terms: 25 + -13 = 12
3m = 12

Divide each side by '3'.
m = 4

Simplifying
m = 4

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