5abs(2x-5)-3=12

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Solution for 5abs(2x-5)-3=12 equation: 


Simplifying
5abs(2x + -5) + -3 = 12

Reorder the terms:
5abs(-5 + 2x) + -3 = 12
(-5 * 5abs + 2x * 5abs) + -3 = 12
(-25abs + 10absx) + -3 = 12

Reorder the terms:
-3 + -25abs + 10absx = 12

Solving
-3 + -25abs + 10absx = 12

Solving for variable 'a'.

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

Add '3' to each side of the equation.
-3 + -25abs + 3 + 10absx = 12 + 3

Reorder the terms:
-3 + 3 + -25abs + 10absx = 12 + 3

Combine like terms: -3 + 3 = 0
0 + -25abs + 10absx = 12 + 3
-25abs + 10absx = 12 + 3

Combine like terms: 12 + 3 = 15
-25abs + 10absx = 15

Reorder the terms:
-15 + -25abs + 10absx = 15 + -15

Combine like terms: 15 + -15 = 0
-15 + -25abs + 10absx = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-3 + -5abs + 2absx) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-3 + -5abs + 2absx)' equal to zero and attempt to solve:

Simplifying
-3 + -5abs + 2absx = 0

Solving
-3 + -5abs + 2absx = 0

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

Add '3' to each side of the equation.
-3 + -5abs + 3 + 2absx = 0 + 3

Reorder the terms:
-3 + 3 + -5abs + 2absx = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -5abs + 2absx = 0 + 3
-5abs + 2absx = 0 + 3

Combine like terms: 0 + 3 = 3
-5abs + 2absx = 3

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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