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

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


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

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

Reorder the terms:
-5 + 2m = 4(-7 + m) + 5
-5 + 2m = (-7 * 4 + m * 4) + 5
-5 + 2m = (-28 + 4m) + 5

Reorder the terms:
-5 + 2m = -28 + 5 + 4m

Combine like terms: -28 + 5 = -23
-5 + 2m = -23 + 4m

Solving
-5 + 2m = -23 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
-5 + 2m + -4m = -23 + 4m + -4m

Combine like terms: 2m + -4m = -2m
-5 + -2m = -23 + 4m + -4m

Combine like terms: 4m + -4m = 0
-5 + -2m = -23 + 0
-5 + -2m = -23

Add '5' to each side of the equation.
-5 + 5 + -2m = -23 + 5

Combine like terms: -5 + 5 = 0
0 + -2m = -23 + 5
-2m = -23 + 5

Combine like terms: -23 + 5 = -18
-2m = -18

Divide each side by '-2'.
m = 9

Simplifying
m = 9

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