(2x+4)+1=5x-9

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Solution for (2x+4)+1=5x-9 equation:


Simplifying
(2x + 4) + 1 = 5x + -9

Reorder the terms:
(4 + 2x) + 1 = 5x + -9

Remove parenthesis around (4 + 2x)
4 + 2x + 1 = 5x + -9

Reorder the terms:
4 + 1 + 2x = 5x + -9

Combine like terms: 4 + 1 = 5
5 + 2x = 5x + -9

Reorder the terms:
5 + 2x = -9 + 5x

Solving
5 + 2x = -9 + 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.
5 + 2x + -5x = -9 + 5x + -5x

Combine like terms: 2x + -5x = -3x
5 + -3x = -9 + 5x + -5x

Combine like terms: 5x + -5x = 0
5 + -3x = -9 + 0
5 + -3x = -9

Add '-5' to each side of the equation.
5 + -5 + -3x = -9 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = -9 + -5
-3x = -9 + -5

Combine like terms: -9 + -5 = -14
-3x = -14

Divide each side by '-3'.
x = 4.666666667

Simplifying
x = 4.666666667

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