9x-4(x-6)=3(x-2)+3

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Solution for 9x-4(x-6)=3(x-2)+3 equation:


Simplifying
9x + -4(x + -6) = 3(x + -2) + 3

Reorder the terms:
9x + -4(-6 + x) = 3(x + -2) + 3
9x + (-6 * -4 + x * -4) = 3(x + -2) + 3
9x + (24 + -4x) = 3(x + -2) + 3

Reorder the terms:
24 + 9x + -4x = 3(x + -2) + 3

Combine like terms: 9x + -4x = 5x
24 + 5x = 3(x + -2) + 3

Reorder the terms:
24 + 5x = 3(-2 + x) + 3
24 + 5x = (-2 * 3 + x * 3) + 3
24 + 5x = (-6 + 3x) + 3

Reorder the terms:
24 + 5x = -6 + 3 + 3x

Combine like terms: -6 + 3 = -3
24 + 5x = -3 + 3x

Solving
24 + 5x = -3 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
24 + 5x + -3x = -3 + 3x + -3x

Combine like terms: 5x + -3x = 2x
24 + 2x = -3 + 3x + -3x

Combine like terms: 3x + -3x = 0
24 + 2x = -3 + 0
24 + 2x = -3

Add '-24' to each side of the equation.
24 + -24 + 2x = -3 + -24

Combine like terms: 24 + -24 = 0
0 + 2x = -3 + -24
2x = -3 + -24

Combine like terms: -3 + -24 = -27
2x = -27

Divide each side by '2'.
x = -13.5

Simplifying
x = -13.5

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