4(m+5)-3=6m-13

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Solution for 4(m+5)-3=6m-13 equation:


Simplifying
4(m + 5) + -3 = 6m + -13

Reorder the terms:
4(5 + m) + -3 = 6m + -13
(5 * 4 + m * 4) + -3 = 6m + -13
(20 + 4m) + -3 = 6m + -13

Reorder the terms:
20 + -3 + 4m = 6m + -13

Combine like terms: 20 + -3 = 17
17 + 4m = 6m + -13

Reorder the terms:
17 + 4m = -13 + 6m

Solving
17 + 4m = -13 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
17 + 4m + -6m = -13 + 6m + -6m

Combine like terms: 4m + -6m = -2m
17 + -2m = -13 + 6m + -6m

Combine like terms: 6m + -6m = 0
17 + -2m = -13 + 0
17 + -2m = -13

Add '-17' to each side of the equation.
17 + -17 + -2m = -13 + -17

Combine like terms: 17 + -17 = 0
0 + -2m = -13 + -17
-2m = -13 + -17

Combine like terms: -13 + -17 = -30
-2m = -30

Divide each side by '-2'.
m = 15

Simplifying
m = 15

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