3x(2-a)-5x(7-2a)=10+4a+5

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Solution for 3x(2-a)-5x(7-2a)=10+4a+5 equation: 


Simplifying
3x(2 + -1a) + -5x(7 + -2a) = 10 + 4a + 5
(2 * 3x + -1a * 3x) + -5x(7 + -2a) = 10 + 4a + 5

Reorder the terms:
(-3ax + 6x) + -5x(7 + -2a) = 10 + 4a + 5
(-3ax + 6x) + -5x(7 + -2a) = 10 + 4a + 5
-3ax + 6x + (7 * -5x + -2a * -5x) = 10 + 4a + 5

Reorder the terms:
-3ax + 6x + (10ax + -35x) = 10 + 4a + 5
-3ax + 6x + (10ax + -35x) = 10 + 4a + 5

Reorder the terms:
-3ax + 10ax + 6x + -35x = 10 + 4a + 5

Combine like terms: -3ax + 10ax = 7ax
7ax + 6x + -35x = 10 + 4a + 5

Combine like terms: 6x + -35x = -29x
7ax + -29x = 10 + 4a + 5

Reorder the terms:
7ax + -29x = 10 + 5 + 4a

Combine like terms: 10 + 5 = 15
7ax + -29x = 15 + 4a

Solving
7ax + -29x = 15 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
7ax + -4a + -29x = 15 + 4a + -4a

Reorder the terms:
-4a + 7ax + -29x = 15 + 4a + -4a

Combine like terms: 4a + -4a = 0
-4a + 7ax + -29x = 15 + 0
-4a + 7ax + -29x = 15

Add '29x' to each side of the equation.
-4a + 7ax + -29x + 29x = 15 + 29x

Combine like terms: -29x + 29x = 0
-4a + 7ax + 0 = 15 + 29x
-4a + 7ax = 15 + 29x

Reorder the terms:
-15 + -4a + 7ax + -29x = 15 + 29x + -15 + -29x

Reorder the terms:
-15 + -4a + 7ax + -29x = 15 + -15 + 29x + -29x

Combine like terms: 15 + -15 = 0
-15 + -4a + 7ax + -29x = 0 + 29x + -29x
-15 + -4a + 7ax + -29x = 29x + -29x

Combine like terms: 29x + -29x = 0
-15 + -4a + 7ax + -29x = 0

The solution to this equation could not be determined.

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