4(3x+1)-2=11(x-2)+27

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Solution for 4(3x+1)-2=11(x-2)+27 equation:


Simplifying
4(3x + 1) + -2 = 11(x + -2) + 27

Reorder the terms:
4(1 + 3x) + -2 = 11(x + -2) + 27
(1 * 4 + 3x * 4) + -2 = 11(x + -2) + 27
(4 + 12x) + -2 = 11(x + -2) + 27

Reorder the terms:
4 + -2 + 12x = 11(x + -2) + 27

Combine like terms: 4 + -2 = 2
2 + 12x = 11(x + -2) + 27

Reorder the terms:
2 + 12x = 11(-2 + x) + 27
2 + 12x = (-2 * 11 + x * 11) + 27
2 + 12x = (-22 + 11x) + 27

Reorder the terms:
2 + 12x = -22 + 27 + 11x

Combine like terms: -22 + 27 = 5
2 + 12x = 5 + 11x

Solving
2 + 12x = 5 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
2 + 12x + -11x = 5 + 11x + -11x

Combine like terms: 12x + -11x = 1x
2 + 1x = 5 + 11x + -11x

Combine like terms: 11x + -11x = 0
2 + 1x = 5 + 0
2 + 1x = 5

Add '-2' to each side of the equation.
2 + -2 + 1x = 5 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 5 + -2
1x = 5 + -2

Combine like terms: 5 + -2 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3

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