(x+4)=9(x-2)

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Solution for (x+4)=9(x-2) equation:


Simplifying
(x + 4) = 9(x + -2)

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

Remove parenthesis around (4 + x)
4 + x = 9(x + -2)

Reorder the terms:
4 + x = 9(-2 + x)
4 + x = (-2 * 9 + x * 9)
4 + x = (-18 + 9x)

Solving
4 + x = -18 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
4 + x + -9x = -18 + 9x + -9x

Combine like terms: x + -9x = -8x
4 + -8x = -18 + 9x + -9x

Combine like terms: 9x + -9x = 0
4 + -8x = -18 + 0
4 + -8x = -18

Add '-4' to each side of the equation.
4 + -4 + -8x = -18 + -4

Combine like terms: 4 + -4 = 0
0 + -8x = -18 + -4
-8x = -18 + -4

Combine like terms: -18 + -4 = -22
-8x = -22

Divide each side by '-8'.
x = 2.75

Simplifying
x = 2.75

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