(4x-13)=(2x+37)

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Solution for (4x-13)=(2x+37) equation:


Simplifying
(4x + -13) = (2x + 37)

Reorder the terms:
(-13 + 4x) = (2x + 37)

Remove parenthesis around (-13 + 4x)
-13 + 4x = (2x + 37)

Reorder the terms:
-13 + 4x = (37 + 2x)

Remove parenthesis around (37 + 2x)
-13 + 4x = 37 + 2x

Solving
-13 + 4x = 37 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-13 + 4x + -2x = 37 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-13 + 2x = 37 + 2x + -2x

Combine like terms: 2x + -2x = 0
-13 + 2x = 37 + 0
-13 + 2x = 37

Add '13' to each side of the equation.
-13 + 13 + 2x = 37 + 13

Combine like terms: -13 + 13 = 0
0 + 2x = 37 + 13
2x = 37 + 13

Combine like terms: 37 + 13 = 50
2x = 50

Divide each side by '2'.
x = 25

Simplifying
x = 25

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