6(x-3)=9(x+5)

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Solution for 6(x-3)=9(x+5) equation:


Simplifying
6(x + -3) = 9(x + 5)

Reorder the terms:
6(-3 + x) = 9(x + 5)
(-3 * 6 + x * 6) = 9(x + 5)
(-18 + 6x) = 9(x + 5)

Reorder the terms:
-18 + 6x = 9(5 + x)
-18 + 6x = (5 * 9 + x * 9)
-18 + 6x = (45 + 9x)

Solving
-18 + 6x = 45 + 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.
-18 + 6x + -9x = 45 + 9x + -9x

Combine like terms: 6x + -9x = -3x
-18 + -3x = 45 + 9x + -9x

Combine like terms: 9x + -9x = 0
-18 + -3x = 45 + 0
-18 + -3x = 45

Add '18' to each side of the equation.
-18 + 18 + -3x = 45 + 18

Combine like terms: -18 + 18 = 0
0 + -3x = 45 + 18
-3x = 45 + 18

Combine like terms: 45 + 18 = 63
-3x = 63

Divide each side by '-3'.
x = -21

Simplifying
x = -21

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