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

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


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

Reorder the terms:
4x + -3(2 + 3x) = 5 + -1(11x + -2)
4x + (2 * -3 + 3x * -3) = 5 + -1(11x + -2)
4x + (-6 + -9x) = 5 + -1(11x + -2)

Reorder the terms:
-6 + 4x + -9x = 5 + -1(11x + -2)

Combine like terms: 4x + -9x = -5x
-6 + -5x = 5 + -1(11x + -2)

Reorder the terms:
-6 + -5x = 5 + -1(-2 + 11x)
-6 + -5x = 5 + (-2 * -1 + 11x * -1)
-6 + -5x = 5 + (2 + -11x)

Combine like terms: 5 + 2 = 7
-6 + -5x = 7 + -11x

Solving
-6 + -5x = 7 + -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.
-6 + -5x + 11x = 7 + -11x + 11x

Combine like terms: -5x + 11x = 6x
-6 + 6x = 7 + -11x + 11x

Combine like terms: -11x + 11x = 0
-6 + 6x = 7 + 0
-6 + 6x = 7

Add '6' to each side of the equation.
-6 + 6 + 6x = 7 + 6

Combine like terms: -6 + 6 = 0
0 + 6x = 7 + 6
6x = 7 + 6

Combine like terms: 7 + 6 = 13
6x = 13

Divide each side by '6'.
x = 2.166666667

Simplifying
x = 2.166666667

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