5(m-3)=7m-17

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Solution for 5(m-3)=7m-17 equation: 


Simplifying
5(m + -3) = 7m + -17

Reorder the terms:
5(-3 + m) = 7m + -17
(-3 * 5 + m * 5) = 7m + -17
(-15 + 5m) = 7m + -17

Reorder the terms:
-15 + 5m = -17 + 7m

Solving
-15 + 5m = -17 + 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 + 5m + -7m = -17 + 7m + -7m

Combine like terms: 5m + -7m = -2m
-15 + -2m = -17 + 7m + -7m

Combine like terms: 7m + -7m = 0
-15 + -2m = -17 + 0
-15 + -2m = -17

Add '15' to each side of the equation.
-15 + 15 + -2m = -17 + 15

Combine like terms: -15 + 15 = 0
0 + -2m = -17 + 15
-2m = -17 + 15

Combine like terms: -17 + 15 = -2
-2m = -2

Divide each side by '-2'.
m = 1

Simplifying
m = 1

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