4(x-6)=9(x+9)

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Solution for 4(x-6)=9(x+9) equation:


Simplifying
4(x + -6) = 9(x + 9)

Reorder the terms:
4(-6 + x) = 9(x + 9)
(-6 * 4 + x * 4) = 9(x + 9)
(-24 + 4x) = 9(x + 9)

Reorder the terms:
-24 + 4x = 9(9 + x)
-24 + 4x = (9 * 9 + x * 9)
-24 + 4x = (81 + 9x)

Solving
-24 + 4x = 81 + 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.
-24 + 4x + -9x = 81 + 9x + -9x

Combine like terms: 4x + -9x = -5x
-24 + -5x = 81 + 9x + -9x

Combine like terms: 9x + -9x = 0
-24 + -5x = 81 + 0
-24 + -5x = 81

Add '24' to each side of the equation.
-24 + 24 + -5x = 81 + 24

Combine like terms: -24 + 24 = 0
0 + -5x = 81 + 24
-5x = 81 + 24

Combine like terms: 81 + 24 = 105
-5x = 105

Divide each side by '-5'.
x = -21

Simplifying
x = -21

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