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

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


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

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

Reorder the terms:
-8 + 4x = 4 + -4(-9 + 3x)
-8 + 4x = 4 + (-9 * -4 + 3x * -4)
-8 + 4x = 4 + (36 + -12x)

Combine like terms: 4 + 36 = 40
-8 + 4x = 40 + -12x

Solving
-8 + 4x = 40 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-8 + 4x + 12x = 40 + -12x + 12x

Combine like terms: 4x + 12x = 16x
-8 + 16x = 40 + -12x + 12x

Combine like terms: -12x + 12x = 0
-8 + 16x = 40 + 0
-8 + 16x = 40

Add '8' to each side of the equation.
-8 + 8 + 16x = 40 + 8

Combine like terms: -8 + 8 = 0
0 + 16x = 40 + 8
16x = 40 + 8

Combine like terms: 40 + 8 = 48
16x = 48

Divide each side by '16'.
x = 3

Simplifying
x = 3

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