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

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


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

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

Reorder the terms:
14 + 7x = 3(9 + x)
14 + 7x = (9 * 3 + x * 3)
14 + 7x = (27 + 3x)

Solving
14 + 7x = 27 + 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 + 7x + -3x = 27 + 3x + -3x

Combine like terms: 7x + -3x = 4x
14 + 4x = 27 + 3x + -3x

Combine like terms: 3x + -3x = 0
14 + 4x = 27 + 0
14 + 4x = 27

Add '-14' to each side of the equation.
14 + -14 + 4x = 27 + -14

Combine like terms: 14 + -14 = 0
0 + 4x = 27 + -14
4x = 27 + -14

Combine like terms: 27 + -14 = 13
4x = 13

Divide each side by '4'.
x = 3.25

Simplifying
x = 3.25

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