6(x+4)=9x-3

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Solution for 6(x+4)=9x-3 equation:


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

Reorder the terms:
6(4 + x) = 9x + -3
(4 * 6 + x * 6) = 9x + -3
(24 + 6x) = 9x + -3

Reorder the terms:
24 + 6x = -3 + 9x

Solving
24 + 6x = -3 + 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 + 6x + -9x = -3 + 9x + -9x

Combine like terms: 6x + -9x = -3x
24 + -3x = -3 + 9x + -9x

Combine like terms: 9x + -9x = 0
24 + -3x = -3 + 0
24 + -3x = -3

Add '-24' to each side of the equation.
24 + -24 + -3x = -3 + -24

Combine like terms: 24 + -24 = 0
0 + -3x = -3 + -24
-3x = -3 + -24

Combine like terms: -3 + -24 = -27
-3x = -27

Divide each side by '-3'.
x = 9

Simplifying
x = 9

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