(4x+13)=(6x+2)

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Solution for (4x+13)=(6x+2) equation:


Simplifying
(4x + 13) = (6x + 2)

Reorder the terms:
(13 + 4x) = (6x + 2)

Remove parenthesis around (13 + 4x)
13 + 4x = (6x + 2)

Reorder the terms:
13 + 4x = (2 + 6x)

Remove parenthesis around (2 + 6x)
13 + 4x = 2 + 6x

Solving
13 + 4x = 2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
13 + 4x + -6x = 2 + 6x + -6x

Combine like terms: 4x + -6x = -2x
13 + -2x = 2 + 6x + -6x

Combine like terms: 6x + -6x = 0
13 + -2x = 2 + 0
13 + -2x = 2

Add '-13' to each side of the equation.
13 + -13 + -2x = 2 + -13

Combine like terms: 13 + -13 = 0
0 + -2x = 2 + -13
-2x = 2 + -13

Combine like terms: 2 + -13 = -11
-2x = -11

Divide each side by '-2'.
x = 5.5

Simplifying
x = 5.5

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