(5x-14)=(3x+4)

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Solution for (5x-14)=(3x+4) equation:


Simplifying
(5x + -14) = (3x + 4)

Reorder the terms:
(-14 + 5x) = (3x + 4)

Remove parenthesis around (-14 + 5x)
-14 + 5x = (3x + 4)

Reorder the terms:
-14 + 5x = (4 + 3x)

Remove parenthesis around (4 + 3x)
-14 + 5x = 4 + 3x

Solving
-14 + 5x = 4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-14 + 5x + -3x = 4 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-14 + 2x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
-14 + 2x = 4 + 0
-14 + 2x = 4

Add '14' to each side of the equation.
-14 + 14 + 2x = 4 + 14

Combine like terms: -14 + 14 = 0
0 + 2x = 4 + 14
2x = 4 + 14

Combine like terms: 4 + 14 = 18
2x = 18

Divide each side by '2'.
x = 9

Simplifying
x = 9

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