2(2x+1)=x+9

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


Simplifying
2(2x + 1) = x + 9

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

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

Solving
2 + 4x = 9 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
2 + 4x + -1x = 9 + x + -1x

Combine like terms: 4x + -1x = 3x
2 + 3x = 9 + x + -1x

Combine like terms: x + -1x = 0
2 + 3x = 9 + 0
2 + 3x = 9

Add '-2' to each side of the equation.
2 + -2 + 3x = 9 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 9 + -2
3x = 9 + -2

Combine like terms: 9 + -2 = 7
3x = 7

Divide each side by '3'.
x = 2.333333333

Simplifying
x = 2.333333333

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