4(2m+3)=2(m+5)-4

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Solution for 4(2m+3)=2(m+5)-4 equation:


Simplifying
4(2m + 3) = 2(m + 5) + -4

Reorder the terms:
4(3 + 2m) = 2(m + 5) + -4
(3 * 4 + 2m * 4) = 2(m + 5) + -4
(12 + 8m) = 2(m + 5) + -4

Reorder the terms:
12 + 8m = 2(5 + m) + -4
12 + 8m = (5 * 2 + m * 2) + -4
12 + 8m = (10 + 2m) + -4

Reorder the terms:
12 + 8m = 10 + -4 + 2m

Combine like terms: 10 + -4 = 6
12 + 8m = 6 + 2m

Solving
12 + 8m = 6 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
12 + 8m + -2m = 6 + 2m + -2m

Combine like terms: 8m + -2m = 6m
12 + 6m = 6 + 2m + -2m

Combine like terms: 2m + -2m = 0
12 + 6m = 6 + 0
12 + 6m = 6

Add '-12' to each side of the equation.
12 + -12 + 6m = 6 + -12

Combine like terms: 12 + -12 = 0
0 + 6m = 6 + -12
6m = 6 + -12

Combine like terms: 6 + -12 = -6
6m = -6

Divide each side by '6'.
m = -1

Simplifying
m = -1

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