(5x-1)+(5x-1)=(12x+3)

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Solution for (5x-1)+(5x-1)=(12x+3) equation:


Simplifying
(5x + -1) + (5x + -1) = (12x + 3)

Reorder the terms:
(-1 + 5x) + (5x + -1) = (12x + 3)

Remove parenthesis around (-1 + 5x)
-1 + 5x + (5x + -1) = (12x + 3)

Reorder the terms:
-1 + 5x + (-1 + 5x) = (12x + 3)

Remove parenthesis around (-1 + 5x)
-1 + 5x + -1 + 5x = (12x + 3)

Reorder the terms:
-1 + -1 + 5x + 5x = (12x + 3)

Combine like terms: -1 + -1 = -2
-2 + 5x + 5x = (12x + 3)

Combine like terms: 5x + 5x = 10x
-2 + 10x = (12x + 3)

Reorder the terms:
-2 + 10x = (3 + 12x)

Remove parenthesis around (3 + 12x)
-2 + 10x = 3 + 12x

Solving
-2 + 10x = 3 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-2 + 10x + -12x = 3 + 12x + -12x

Combine like terms: 10x + -12x = -2x
-2 + -2x = 3 + 12x + -12x

Combine like terms: 12x + -12x = 0
-2 + -2x = 3 + 0
-2 + -2x = 3

Add '2' to each side of the equation.
-2 + 2 + -2x = 3 + 2

Combine like terms: -2 + 2 = 0
0 + -2x = 3 + 2
-2x = 3 + 2

Combine like terms: 3 + 2 = 5
-2x = 5

Divide each side by '-2'.
x = -2.5

Simplifying
x = -2.5

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