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

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


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

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

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

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

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

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

Solving
3 + 4x = -4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
3 + 4x + -2x = -4 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
3 + 2x = -4 + 0
3 + 2x = -4

Add '-3' to each side of the equation.
3 + -3 + 2x = -4 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = -4 + -3
2x = -4 + -3

Combine like terms: -4 + -3 = -7
2x = -7

Divide each side by '2'.
x = -3.5

Simplifying
x = -3.5

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