9(3x+9)=14-(x+3)

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Solution for 9(3x+9)=14-(x+3) equation:


Simplifying
9(3x + 9) = 14 + -1(x + 3)

Reorder the terms:
9(9 + 3x) = 14 + -1(x + 3)
(9 * 9 + 3x * 9) = 14 + -1(x + 3)
(81 + 27x) = 14 + -1(x + 3)

Reorder the terms:
81 + 27x = 14 + -1(3 + x)
81 + 27x = 14 + (3 * -1 + x * -1)
81 + 27x = 14 + (-3 + -1x)

Combine like terms: 14 + -3 = 11
81 + 27x = 11 + -1x

Solving
81 + 27x = 11 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
81 + 27x + x = 11 + -1x + x

Combine like terms: 27x + x = 28x
81 + 28x = 11 + -1x + x

Combine like terms: -1x + x = 0
81 + 28x = 11 + 0
81 + 28x = 11

Add '-81' to each side of the equation.
81 + -81 + 28x = 11 + -81

Combine like terms: 81 + -81 = 0
0 + 28x = 11 + -81
28x = 11 + -81

Combine like terms: 11 + -81 = -70
28x = -70

Divide each side by '28'.
x = -2.5

Simplifying
x = -2.5

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