(3x+13)=(4x+1)

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Solution for (3x+13)=(4x+1) equation:


Simplifying
(3x + 13) = (4x + 1)

Reorder the terms:
(13 + 3x) = (4x + 1)

Remove parenthesis around (13 + 3x)
13 + 3x = (4x + 1)

Reorder the terms:
13 + 3x = (1 + 4x)

Remove parenthesis around (1 + 4x)
13 + 3x = 1 + 4x

Solving
13 + 3x = 1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
13 + 3x + -4x = 1 + 4x + -4x

Combine like terms: 3x + -4x = -1x
13 + -1x = 1 + 4x + -4x

Combine like terms: 4x + -4x = 0
13 + -1x = 1 + 0
13 + -1x = 1

Add '-13' to each side of the equation.
13 + -13 + -1x = 1 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 1 + -13
-1x = 1 + -13

Combine like terms: 1 + -13 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12

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