2x(2m+1)+2x(2m-6)+20=0

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Solution for 2x(2m+1)+2x(2m-6)+20=0 equation:


Simplifying
2x(2m + 1) + 2x(2m + -6) + 20 = 0

Reorder the terms:
2x(1 + 2m) + 2x(2m + -6) + 20 = 0
(1 * 2x + 2m * 2x) + 2x(2m + -6) + 20 = 0

Reorder the terms:
(4mx + 2x) + 2x(2m + -6) + 20 = 0
(4mx + 2x) + 2x(2m + -6) + 20 = 0

Reorder the terms:
4mx + 2x + 2x(-6 + 2m) + 20 = 0
4mx + 2x + (-6 * 2x + 2m * 2x) + 20 = 0

Reorder the terms:
4mx + 2x + (4mx + -12x) + 20 = 0
4mx + 2x + (4mx + -12x) + 20 = 0

Reorder the terms:
20 + 4mx + 4mx + 2x + -12x = 0

Combine like terms: 4mx + 4mx = 8mx
20 + 8mx + 2x + -12x = 0

Combine like terms: 2x + -12x = -10x
20 + 8mx + -10x = 0

Solving
20 + 8mx + -10x = 0

Solving for variable 'm'.

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

Add '-20' to each side of the equation.
20 + 8mx + -20 + -10x = 0 + -20

Reorder the terms:
20 + -20 + 8mx + -10x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 8mx + -10x = 0 + -20
8mx + -10x = 0 + -20

Combine like terms: 0 + -20 = -20
8mx + -10x = -20

Add '10x' to each side of the equation.
8mx + -10x + 10x = -20 + 10x

Combine like terms: -10x + 10x = 0
8mx + 0 = -20 + 10x
8mx = -20 + 10x

Divide each side by '8x'.
m = -2.5x-1 + 1.25

Simplifying
m = -2.5x-1 + 1.25

Reorder the terms:
m = 1.25 + -2.5x-1

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