4x-5=2x+9

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


Simplifying
4x + -5 = 2x + 9

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

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

Solving
-5 + 4x = 9 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-5 + 4x + -2x = 9 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-5 + 2x = 9 + 0
-5 + 2x = 9

Add '5' to each side of the equation.
-5 + 5 + 2x = 9 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = 9 + 5
2x = 9 + 5

Combine like terms: 9 + 5 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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