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

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


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

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

Combine like terms: 2 + 4 = 6
5 + -6x = 6 + -3x

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

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

Combine like terms: -3x + 3x = 0
5 + -3x = 6 + 0
5 + -3x = 6

Add '-5' to each side of the equation.
5 + -5 + -3x = 6 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 6 + -5
-3x = 6 + -5

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

Divide each side by '-3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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