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

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


Simplifying
4(3x + -2) + -1(x + 4) = 3x + -9

Reorder the terms:
4(-2 + 3x) + -1(x + 4) = 3x + -9
(-2 * 4 + 3x * 4) + -1(x + 4) = 3x + -9
(-8 + 12x) + -1(x + 4) = 3x + -9

Reorder the terms:
-8 + 12x + -1(4 + x) = 3x + -9
-8 + 12x + (4 * -1 + x * -1) = 3x + -9
-8 + 12x + (-4 + -1x) = 3x + -9

Reorder the terms:
-8 + -4 + 12x + -1x = 3x + -9

Combine like terms: -8 + -4 = -12
-12 + 12x + -1x = 3x + -9

Combine like terms: 12x + -1x = 11x
-12 + 11x = 3x + -9

Reorder the terms:
-12 + 11x = -9 + 3x

Solving
-12 + 11x = -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.
-12 + 11x + -3x = -9 + 3x + -3x

Combine like terms: 11x + -3x = 8x
-12 + 8x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
-12 + 8x = -9 + 0
-12 + 8x = -9

Add '12' to each side of the equation.
-12 + 12 + 8x = -9 + 12

Combine like terms: -12 + 12 = 0
0 + 8x = -9 + 12
8x = -9 + 12

Combine like terms: -9 + 12 = 3
8x = 3

Divide each side by '8'.
x = 0.375

Simplifying
x = 0.375

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