30x-13-18x=3(4x-5)+2

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Solution for 30x-13-18x=3(4x-5)+2 equation:


Simplifying
30x + -13 + -18x = 3(4x + -5) + 2

Reorder the terms:
-13 + 30x + -18x = 3(4x + -5) + 2

Combine like terms: 30x + -18x = 12x
-13 + 12x = 3(4x + -5) + 2

Reorder the terms:
-13 + 12x = 3(-5 + 4x) + 2
-13 + 12x = (-5 * 3 + 4x * 3) + 2
-13 + 12x = (-15 + 12x) + 2

Reorder the terms:
-13 + 12x = -15 + 2 + 12x

Combine like terms: -15 + 2 = -13
-13 + 12x = -13 + 12x

Add '13' to each side of the equation.
-13 + 13 + 12x = -13 + 13 + 12x

Combine like terms: -13 + 13 = 0
0 + 12x = -13 + 13 + 12x
12x = -13 + 13 + 12x

Combine like terms: -13 + 13 = 0
12x = 0 + 12x
12x = 12x

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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