25-13-13x=3(4x-5)+2

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Solution for 25-13-13x=3(4x-5)+2 equation:


Simplifying
25 + -13 + -13x = 3(4x + -5) + 2

Combine like terms: 25 + -13 = 12
12 + -13x = 3(4x + -5) + 2

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

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

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

Solving
12 + -13x = -13 + 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.
12 + -13x + -12x = -13 + 12x + -12x

Combine like terms: -13x + -12x = -25x
12 + -25x = -13 + 12x + -12x

Combine like terms: 12x + -12x = 0
12 + -25x = -13 + 0
12 + -25x = -13

Add '-12' to each side of the equation.
12 + -12 + -25x = -13 + -12

Combine like terms: 12 + -12 = 0
0 + -25x = -13 + -12
-25x = -13 + -12

Combine like terms: -13 + -12 = -25
-25x = -25

Divide each side by '-25'.
x = 1

Simplifying
x = 1

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