13(3x-2)+2=14x+1

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Solution for 13(3x-2)+2=14x+1 equation:


Simplifying
13(3x + -2) + 2 = 14x + 1

Reorder the terms:
13(-2 + 3x) + 2 = 14x + 1
(-2 * 13 + 3x * 13) + 2 = 14x + 1
(-26 + 39x) + 2 = 14x + 1

Reorder the terms:
-26 + 2 + 39x = 14x + 1

Combine like terms: -26 + 2 = -24
-24 + 39x = 14x + 1

Reorder the terms:
-24 + 39x = 1 + 14x

Solving
-24 + 39x = 1 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-24 + 39x + -14x = 1 + 14x + -14x

Combine like terms: 39x + -14x = 25x
-24 + 25x = 1 + 14x + -14x

Combine like terms: 14x + -14x = 0
-24 + 25x = 1 + 0
-24 + 25x = 1

Add '24' to each side of the equation.
-24 + 24 + 25x = 1 + 24

Combine like terms: -24 + 24 = 0
0 + 25x = 1 + 24
25x = 1 + 24

Combine like terms: 1 + 24 = 25
25x = 25

Divide each side by '25'.
x = 1

Simplifying
x = 1

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