0.67x(m-0.5)+3=0.33m-7

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Solution for 0.67x(m-0.5)+3=0.33m-7 equation: 


Simplifying
0.67x(m + -0.5) + 3 = 0.33m + -7

Reorder the terms:
0.67x(-0.5 + m) + 3 = 0.33m + -7
(-0.5 * 0.67x + m * 0.67x) + 3 = 0.33m + -7

Reorder the terms:
(0.67mx + -0.335x) + 3 = 0.33m + -7
(0.67mx + -0.335x) + 3 = 0.33m + -7

Reorder the terms:
3 + 0.67mx + -0.335x = 0.33m + -7

Reorder the terms:
3 + 0.67mx + -0.335x = -7 + 0.33m

Solving
3 + 0.67mx + -0.335x = -7 + 0.33m

Solving for variable 'm'.

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

Add '-0.33m' to each side of the equation.
3 + 0.67mx + -0.33m + -0.335x = -7 + 0.33m + -0.33m

Reorder the terms:
3 + -0.33m + 0.67mx + -0.335x = -7 + 0.33m + -0.33m

Combine like terms: 0.33m + -0.33m = 0.00
3 + -0.33m + 0.67mx + -0.335x = -7 + 0.00
3 + -0.33m + 0.67mx + -0.335x = -7

Add '-3' to each side of the equation.
3 + -0.33m + 0.67mx + -3 + -0.335x = -7 + -3

Reorder the terms:
3 + -3 + -0.33m + 0.67mx + -0.335x = -7 + -3

Combine like terms: 3 + -3 = 0
0 + -0.33m + 0.67mx + -0.335x = -7 + -3
-0.33m + 0.67mx + -0.335x = -7 + -3

Combine like terms: -7 + -3 = -10
-0.33m + 0.67mx + -0.335x = -10

Add '0.335x' to each side of the equation.
-0.33m + 0.67mx + -0.335x + 0.335x = -10 + 0.335x

Combine like terms: -0.335x + 0.335x = 0.000
-0.33m + 0.67mx + 0.000 = -10 + 0.335x
-0.33m + 0.67mx = -10 + 0.335x

Reorder the terms:
10 + -0.33m + 0.67mx + -0.335x = -10 + 0.335x + 10 + -0.335x

Reorder the terms:
10 + -0.33m + 0.67mx + -0.335x = -10 + 10 + 0.335x + -0.335x

Combine like terms: -10 + 10 = 0
10 + -0.33m + 0.67mx + -0.335x = 0 + 0.335x + -0.335x
10 + -0.33m + 0.67mx + -0.335x = 0.335x + -0.335x

Combine like terms: 0.335x + -0.335x = 0.000
10 + -0.33m + 0.67mx + -0.335x = 0.000

The solution to this equation could not be determined.

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