2(2x+7)=3x+9

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Solution for 2(2x+7)=3x+9 equation:


Simplifying
2(2x + 7) = 3x + 9

Reorder the terms:
2(7 + 2x) = 3x + 9
(7 * 2 + 2x * 2) = 3x + 9
(14 + 4x) = 3x + 9

Reorder the terms:
14 + 4x = 9 + 3x

Solving
14 + 4x = 9 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
14 + 4x + -3x = 9 + 3x + -3x

Combine like terms: 4x + -3x = 1x
14 + 1x = 9 + 3x + -3x

Combine like terms: 3x + -3x = 0
14 + 1x = 9 + 0
14 + 1x = 9

Add '-14' to each side of the equation.
14 + -14 + 1x = 9 + -14

Combine like terms: 14 + -14 = 0
0 + 1x = 9 + -14
1x = 9 + -14

Combine like terms: 9 + -14 = -5
1x = -5

Divide each side by '1'.
x = -5

Simplifying
x = -5

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