4x-9=2x+6

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Solution for 4x-9=2x+6 equation:


Simplifying
4x + -9 = 2x + 6

Reorder the terms:
-9 + 4x = 2x + 6

Reorder the terms:
-9 + 4x = 6 + 2x

Solving
-9 + 4x = 6 + 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.
-9 + 4x + -2x = 6 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-9 + 2x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-9 + 2x = 6 + 0
-9 + 2x = 6

Add '9' to each side of the equation.
-9 + 9 + 2x = 6 + 9

Combine like terms: -9 + 9 = 0
0 + 2x = 6 + 9
2x = 6 + 9

Combine like terms: 6 + 9 = 15
2x = 15

Divide each side by '2'.
x = 7.5

Simplifying
x = 7.5

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