12-3(4-x)2+1=30+(4-x)3

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Solution for 12-3(4-x)2+1=30+(4-x)3 equation:


Simplifying
12 + -3(4 + -1x) * 2 + 1 = 30 + (4 + -1x) * 3

Reorder the terms for easier multiplication:
12 + -3 * 2(4 + -1x) + 1 = 30 + (4 + -1x) * 3

Multiply -3 * 2
12 + -6(4 + -1x) + 1 = 30 + (4 + -1x) * 3
12 + (4 * -6 + -1x * -6) + 1 = 30 + (4 + -1x) * 3
12 + (-24 + 6x) + 1 = 30 + (4 + -1x) * 3

Reorder the terms:
12 + -24 + 1 + 6x = 30 + (4 + -1x) * 3

Combine like terms: 12 + -24 = -12
-12 + 1 + 6x = 30 + (4 + -1x) * 3

Combine like terms: -12 + 1 = -11
-11 + 6x = 30 + (4 + -1x) * 3

Reorder the terms for easier multiplication:
-11 + 6x = 30 + 3(4 + -1x)
-11 + 6x = 30 + (4 * 3 + -1x * 3)
-11 + 6x = 30 + (12 + -3x)

Combine like terms: 30 + 12 = 42
-11 + 6x = 42 + -3x

Solving
-11 + 6x = 42 + -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.
-11 + 6x + 3x = 42 + -3x + 3x

Combine like terms: 6x + 3x = 9x
-11 + 9x = 42 + -3x + 3x

Combine like terms: -3x + 3x = 0
-11 + 9x = 42 + 0
-11 + 9x = 42

Add '11' to each side of the equation.
-11 + 11 + 9x = 42 + 11

Combine like terms: -11 + 11 = 0
0 + 9x = 42 + 11
9x = 42 + 11

Combine like terms: 42 + 11 = 53
9x = 53

Divide each side by '9'.
x = 5.888888889

Simplifying
x = 5.888888889

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