5x-38=14x-61

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Solution for 5x-38=14x-61 equation:


Simplifying
5x + -38 = 14x + -61

Reorder the terms:
-38 + 5x = 14x + -61

Reorder the terms:
-38 + 5x = -61 + 14x

Solving
-38 + 5x = -61 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-38 + 5x + -14x = -61 + 14x + -14x

Combine like terms: 5x + -14x = -9x
-38 + -9x = -61 + 14x + -14x

Combine like terms: 14x + -14x = 0
-38 + -9x = -61 + 0
-38 + -9x = -61

Add '38' to each side of the equation.
-38 + 38 + -9x = -61 + 38

Combine like terms: -38 + 38 = 0
0 + -9x = -61 + 38
-9x = -61 + 38

Combine like terms: -61 + 38 = -23
-9x = -23

Divide each side by '-9'.
x = 2.555555556

Simplifying
x = 2.555555556

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