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

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Solution for 4(x-9)=9(x+3) equation:


Simplifying
4(x + -9) = 9(x + 3)

Reorder the terms:
4(-9 + x) = 9(x + 3)
(-9 * 4 + x * 4) = 9(x + 3)
(-36 + 4x) = 9(x + 3)

Reorder the terms:
-36 + 4x = 9(3 + x)
-36 + 4x = (3 * 9 + x * 9)
-36 + 4x = (27 + 9x)

Solving
-36 + 4x = 27 + 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.
-36 + 4x + -9x = 27 + 9x + -9x

Combine like terms: 4x + -9x = -5x
-36 + -5x = 27 + 9x + -9x

Combine like terms: 9x + -9x = 0
-36 + -5x = 27 + 0
-36 + -5x = 27

Add '36' to each side of the equation.
-36 + 36 + -5x = 27 + 36

Combine like terms: -36 + 36 = 0
0 + -5x = 27 + 36
-5x = 27 + 36

Combine like terms: 27 + 36 = 63
-5x = 63

Divide each side by '-5'.
x = -12.6

Simplifying
x = -12.6

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