5(2x+3)-(1-2x)=2[3(3+2x)-(3-m)]

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Solution for 5(2x+3)-(1-2x)=2[3(3+2x)-(3-m)] equation:


Simplifying
5(2x + 3) + -1(1 + -2x) = 2[3(3 + 2x) + -1(3 + -1m)]

Reorder the terms:
5(3 + 2x) + -1(1 + -2x) = 2[3(3 + 2x) + -1(3 + -1m)]
(3 * 5 + 2x * 5) + -1(1 + -2x) = 2[3(3 + 2x) + -1(3 + -1m)]
(15 + 10x) + -1(1 + -2x) = 2[3(3 + 2x) + -1(3 + -1m)]
15 + 10x + (1 * -1 + -2x * -1) = 2[3(3 + 2x) + -1(3 + -1m)]
15 + 10x + (-1 + 2x) = 2[3(3 + 2x) + -1(3 + -1m)]

Reorder the terms:
15 + -1 + 10x + 2x = 2[3(3 + 2x) + -1(3 + -1m)]

Combine like terms: 15 + -1 = 14
14 + 10x + 2x = 2[3(3 + 2x) + -1(3 + -1m)]

Combine like terms: 10x + 2x = 12x
14 + 12x = 2[3(3 + 2x) + -1(3 + -1m)]
14 + 12x = 2[(3 * 3 + 2x * 3) + -1(3 + -1m)]
14 + 12x = 2[(9 + 6x) + -1(3 + -1m)]
14 + 12x = 2[9 + 6x + (3 * -1 + -1m * -1)]
14 + 12x = 2[9 + 6x + (-3 + 1m)]

Reorder the terms:
14 + 12x = 2[9 + -3 + 1m + 6x]

Combine like terms: 9 + -3 = 6
14 + 12x = 2[6 + 1m + 6x]
14 + 12x = [6 * 2 + 1m * 2 + 6x * 2]
14 + 12x = [12 + 2m + 12x]

Add '-12x' to each side of the equation.
14 + 12x + -12x = 12 + 2m + 12x + -12x

Combine like terms: 12x + -12x = 0
14 + 0 = 12 + 2m + 12x + -12x
14 = 12 + 2m + 12x + -12x

Combine like terms: 12x + -12x = 0
14 = 12 + 2m + 0
14 = 12 + 2m

Solving
14 = 12 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
14 + -2m = 12 + 2m + -2m

Combine like terms: 2m + -2m = 0
14 + -2m = 12 + 0
14 + -2m = 12

Add '-14' to each side of the equation.
14 + -14 + -2m = 12 + -14

Combine like terms: 14 + -14 = 0
0 + -2m = 12 + -14
-2m = 12 + -14

Combine like terms: 12 + -14 = -2
-2m = -2

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

Simplifying
m = 1

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