5x-14=3x+1

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Solution for 5x-14=3x+1 equation:


Simplifying
5x + -14 = 3x + 1

Reorder the terms:
-14 + 5x = 3x + 1

Reorder the terms:
-14 + 5x = 1 + 3x

Solving
-14 + 5x = 1 + 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 = 1 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-14 + 2x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
-14 + 2x = 1 + 0
-14 + 2x = 1

Add '14' to each side of the equation.
-14 + 14 + 2x = 1 + 14

Combine like terms: -14 + 14 = 0
0 + 2x = 1 + 14
2x = 1 + 14

Combine like terms: 1 + 14 = 15
2x = 15

Divide each side by '2'.
x = 7.5

Simplifying
x = 7.5

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