2x+4=5x-13

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Solution for 2x+4=5x-13 equation:


Simplifying
2x + 4 = 5x + -13

Reorder the terms:
4 + 2x = 5x + -13

Reorder the terms:
4 + 2x = -13 + 5x

Solving
4 + 2x = -13 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
4 + 2x + -5x = -13 + 5x + -5x

Combine like terms: 2x + -5x = -3x
4 + -3x = -13 + 5x + -5x

Combine like terms: 5x + -5x = 0
4 + -3x = -13 + 0
4 + -3x = -13

Add '-4' to each side of the equation.
4 + -4 + -3x = -13 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = -13 + -4
-3x = -13 + -4

Combine like terms: -13 + -4 = -17
-3x = -17

Divide each side by '-3'.
x = 5.666666667

Simplifying
x = 5.666666667

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