4(m-3)+5=3(2-m)+9

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Solution for 4(m-3)+5=3(2-m)+9 equation:


Simplifying
4(m + -3) + 5 = 3(2 + -1m) + 9

Reorder the terms:
4(-3 + m) + 5 = 3(2 + -1m) + 9
(-3 * 4 + m * 4) + 5 = 3(2 + -1m) + 9
(-12 + 4m) + 5 = 3(2 + -1m) + 9

Reorder the terms:
-12 + 5 + 4m = 3(2 + -1m) + 9

Combine like terms: -12 + 5 = -7
-7 + 4m = 3(2 + -1m) + 9
-7 + 4m = (2 * 3 + -1m * 3) + 9
-7 + 4m = (6 + -3m) + 9

Reorder the terms:
-7 + 4m = 6 + 9 + -3m

Combine like terms: 6 + 9 = 15
-7 + 4m = 15 + -3m

Solving
-7 + 4m = 15 + -3m

Solving for variable 'm'.

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

Add '3m' to each side of the equation.
-7 + 4m + 3m = 15 + -3m + 3m

Combine like terms: 4m + 3m = 7m
-7 + 7m = 15 + -3m + 3m

Combine like terms: -3m + 3m = 0
-7 + 7m = 15 + 0
-7 + 7m = 15

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

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

Combine like terms: 15 + 7 = 22
7m = 22

Divide each side by '7'.
m = 3.142857143

Simplifying
m = 3.142857143

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