8+3x(a-5)=-28

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Solution for 8+3x(a-5)=-28 equation: 


Simplifying
8 + 3x(a + -5) = -28

Reorder the terms:
8 + 3x(-5 + a) = -28
8 + (-5 * 3x + a * 3x) = -28

Reorder the terms:
8 + (3ax + -15x) = -28
8 + (3ax + -15x) = -28

Solving
8 + 3ax + -15x = -28

Solving for variable 'a'.

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

Add '-8' to each side of the equation.
8 + 3ax + -8 + -15x = -28 + -8

Reorder the terms:
8 + -8 + 3ax + -15x = -28 + -8

Combine like terms: 8 + -8 = 0
0 + 3ax + -15x = -28 + -8
3ax + -15x = -28 + -8

Combine like terms: -28 + -8 = -36
3ax + -15x = -36

Add '15x' to each side of the equation.
3ax + -15x + 15x = -36 + 15x

Combine like terms: -15x + 15x = 0
3ax + 0 = -36 + 15x
3ax = -36 + 15x

Divide each side by '3x'.
a = -12x-1 + 5

Simplifying
a = -12x-1 + 5

Reorder the terms:
a = 5 + -12x-1

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