5(7m-3)=14(2m+5)

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Solution for 5(7m-3)=14(2m+5) equation:


Simplifying
5(7m + -3) = 14(2m + 5)

Reorder the terms:
5(-3 + 7m) = 14(2m + 5)
(-3 * 5 + 7m * 5) = 14(2m + 5)
(-15 + 35m) = 14(2m + 5)

Reorder the terms:
-15 + 35m = 14(5 + 2m)
-15 + 35m = (5 * 14 + 2m * 14)
-15 + 35m = (70 + 28m)

Solving
-15 + 35m = 70 + 28m

Solving for variable 'm'.

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

Add '-28m' to each side of the equation.
-15 + 35m + -28m = 70 + 28m + -28m

Combine like terms: 35m + -28m = 7m
-15 + 7m = 70 + 28m + -28m

Combine like terms: 28m + -28m = 0
-15 + 7m = 70 + 0
-15 + 7m = 70

Add '15' to each side of the equation.
-15 + 15 + 7m = 70 + 15

Combine like terms: -15 + 15 = 0
0 + 7m = 70 + 15
7m = 70 + 15

Combine like terms: 70 + 15 = 85
7m = 85

Divide each side by '7'.
m = 12.14285714

Simplifying
m = 12.14285714

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