3a(4-5x)=4+30x-28

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Solution for 3a(4-5x)=4+30x-28 equation: 


Simplifying
3a(4 + -5x) = 4 + 30x + -28
(4 * 3a + -5x * 3a) = 4 + 30x + -28
(12a + -15ax) = 4 + 30x + -28

Reorder the terms:
12a + -15ax = 4 + -28 + 30x

Combine like terms: 4 + -28 = -24
12a + -15ax = -24 + 30x

Solving
12a + -15ax = -24 + 30x

Solving for variable 'a'.

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

Reorder the terms:
24 + 12a + -15ax + -30x = -24 + 30x + 24 + -30x

Reorder the terms:
24 + 12a + -15ax + -30x = -24 + 24 + 30x + -30x

Combine like terms: -24 + 24 = 0
24 + 12a + -15ax + -30x = 0 + 30x + -30x
24 + 12a + -15ax + -30x = 30x + -30x

Combine like terms: 30x + -30x = 0
24 + 12a + -15ax + -30x = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(8 + 4a + -5ax + -10x) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(8 + 4a + -5ax + -10x)' equal to zero and attempt to solve:

Simplifying
8 + 4a + -5ax + -10x = 0

Solving
8 + 4a + -5ax + -10x = 0

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

Add '-8' to each side of the equation.
8 + 4a + -5ax + -8 + -10x = 0 + -8

Reorder the terms:
8 + -8 + 4a + -5ax + -10x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 4a + -5ax + -10x = 0 + -8
4a + -5ax + -10x = 0 + -8

Combine like terms: 0 + -8 = -8
4a + -5ax + -10x = -8

Add '10x' to each side of the equation.
4a + -5ax + -10x + 10x = -8 + 10x

Combine like terms: -10x + 10x = 0
4a + -5ax + 0 = -8 + 10x
4a + -5ax = -8 + 10x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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