-5x+13x-38=3x-14

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Solution for -5x+13x-38=3x-14 equation:


Simplifying
-5x + 13x + -38 = 3x + -14

Reorder the terms:
-38 + -5x + 13x = 3x + -14

Combine like terms: -5x + 13x = 8x
-38 + 8x = 3x + -14

Reorder the terms:
-38 + 8x = -14 + 3x

Solving
-38 + 8x = -14 + 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.
-38 + 8x + -3x = -14 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-38 + 5x = -14 + 3x + -3x

Combine like terms: 3x + -3x = 0
-38 + 5x = -14 + 0
-38 + 5x = -14

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

Combine like terms: -38 + 38 = 0
0 + 5x = -14 + 38
5x = -14 + 38

Combine like terms: -14 + 38 = 24
5x = 24

Divide each side by '5'.
x = 4.8

Simplifying
x = 4.8

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