3(4x-11)=3(5-x)-2

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Solution for 3(4x-11)=3(5-x)-2 equation:


Simplifying
3(4x + -11) = 3(5 + -1x) + -2

Reorder the terms:
3(-11 + 4x) = 3(5 + -1x) + -2
(-11 * 3 + 4x * 3) = 3(5 + -1x) + -2
(-33 + 12x) = 3(5 + -1x) + -2
-33 + 12x = (5 * 3 + -1x * 3) + -2
-33 + 12x = (15 + -3x) + -2

Reorder the terms:
-33 + 12x = 15 + -2 + -3x

Combine like terms: 15 + -2 = 13
-33 + 12x = 13 + -3x

Solving
-33 + 12x = 13 + -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.
-33 + 12x + 3x = 13 + -3x + 3x

Combine like terms: 12x + 3x = 15x
-33 + 15x = 13 + -3x + 3x

Combine like terms: -3x + 3x = 0
-33 + 15x = 13 + 0
-33 + 15x = 13

Add '33' to each side of the equation.
-33 + 33 + 15x = 13 + 33

Combine like terms: -33 + 33 = 0
0 + 15x = 13 + 33
15x = 13 + 33

Combine like terms: 13 + 33 = 46
15x = 46

Divide each side by '15'.
x = 3.066666667

Simplifying
x = 3.066666667

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