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

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


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

Reorder the terms:
4(-2 + 3x) + -11 = 3(3x + -2)
(-2 * 4 + 3x * 4) + -11 = 3(3x + -2)
(-8 + 12x) + -11 = 3(3x + -2)

Reorder the terms:
-8 + -11 + 12x = 3(3x + -2)

Combine like terms: -8 + -11 = -19
-19 + 12x = 3(3x + -2)

Reorder the terms:
-19 + 12x = 3(-2 + 3x)
-19 + 12x = (-2 * 3 + 3x * 3)
-19 + 12x = (-6 + 9x)

Solving
-19 + 12x = -6 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-19 + 12x + -9x = -6 + 9x + -9x

Combine like terms: 12x + -9x = 3x
-19 + 3x = -6 + 9x + -9x

Combine like terms: 9x + -9x = 0
-19 + 3x = -6 + 0
-19 + 3x = -6

Add '19' to each side of the equation.
-19 + 19 + 3x = -6 + 19

Combine like terms: -19 + 19 = 0
0 + 3x = -6 + 19
3x = -6 + 19

Combine like terms: -6 + 19 = 13
3x = 13

Divide each side by '3'.
x = 4.333333333

Simplifying
x = 4.333333333

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