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

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


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

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

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

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

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

Reorder the terms:
4 + 4x = 3 + x + -2x

Combine like terms: x + -2x = -1x
4 + 4x = 3 + -1x

Solving
4 + 4x = 3 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
4 + 4x + x = 3 + -1x + x

Combine like terms: 4x + x = 5x
4 + 5x = 3 + -1x + x

Combine like terms: -1x + x = 0
4 + 5x = 3 + 0
4 + 5x = 3

Add '-4' to each side of the equation.
4 + -4 + 5x = 3 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 3 + -4
5x = 3 + -4

Combine like terms: 3 + -4 = -1
5x = -1

Divide each side by '5'.
x = -0.2

Simplifying
x = -0.2

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