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

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


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

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

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

Combine like terms: 3x + -2x = 1x
6 + 1x = 4 + -1(5x + -1)

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

Combine like terms: 4 + 1 = 5
6 + 1x = 5 + -5x

Solving
6 + 1x = 5 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
6 + 1x + 5x = 5 + -5x + 5x

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

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

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

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

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

Divide each side by '6'.
x = -0.1666666667

Simplifying
x = -0.1666666667

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