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

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


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

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

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

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

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

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

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

Add '12' to each side of the equation.
-12 + 12 + 16x = 40 + 12

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

Combine like terms: 40 + 12 = 52
16x = 52

Divide each side by '16'.
x = 3.25

Simplifying
x = 3.25

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