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

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


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

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

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

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

Reorder the terms:
24 + 5x = 3(-4 + x) + 3
24 + 5x = (-4 * 3 + x * 3) + 3
24 + 5x = (-12 + 3x) + 3

Reorder the terms:
24 + 5x = -12 + 3 + 3x

Combine like terms: -12 + 3 = -9
24 + 5x = -9 + 3x

Solving
24 + 5x = -9 + 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 = -9 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
24 + 2x = -9 + 0
24 + 2x = -9

Add '-24' to each side of the equation.
24 + -24 + 2x = -9 + -24

Combine like terms: 24 + -24 = 0
0 + 2x = -9 + -24
2x = -9 + -24

Combine like terms: -9 + -24 = -33
2x = -33

Divide each side by '2'.
x = -16.5

Simplifying
x = -16.5

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