4(3x-2)-(6x-5)=6-(3x+1)

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Solution for 4(3x-2)-(6x-5)=6-(3x+1) equation:


Simplifying
4(3x + -2) + -1(6x + -5) = 6 + -1(3x + 1)

Reorder the terms:
4(-2 + 3x) + -1(6x + -5) = 6 + -1(3x + 1)
(-2 * 4 + 3x * 4) + -1(6x + -5) = 6 + -1(3x + 1)
(-8 + 12x) + -1(6x + -5) = 6 + -1(3x + 1)

Reorder the terms:
-8 + 12x + -1(-5 + 6x) = 6 + -1(3x + 1)
-8 + 12x + (-5 * -1 + 6x * -1) = 6 + -1(3x + 1)
-8 + 12x + (5 + -6x) = 6 + -1(3x + 1)

Reorder the terms:
-8 + 5 + 12x + -6x = 6 + -1(3x + 1)

Combine like terms: -8 + 5 = -3
-3 + 12x + -6x = 6 + -1(3x + 1)

Combine like terms: 12x + -6x = 6x
-3 + 6x = 6 + -1(3x + 1)

Reorder the terms:
-3 + 6x = 6 + -1(1 + 3x)
-3 + 6x = 6 + (1 * -1 + 3x * -1)
-3 + 6x = 6 + (-1 + -3x)

Combine like terms: 6 + -1 = 5
-3 + 6x = 5 + -3x

Solving
-3 + 6x = 5 + -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.
-3 + 6x + 3x = 5 + -3x + 3x

Combine like terms: 6x + 3x = 9x
-3 + 9x = 5 + -3x + 3x

Combine like terms: -3x + 3x = 0
-3 + 9x = 5 + 0
-3 + 9x = 5

Add '3' to each side of the equation.
-3 + 3 + 9x = 5 + 3

Combine like terms: -3 + 3 = 0
0 + 9x = 5 + 3
9x = 5 + 3

Combine like terms: 5 + 3 = 8
9x = 8

Divide each side by '9'.
x = 0.8888888889

Simplifying
x = 0.8888888889

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