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

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


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

Reorder the terms:
2x + -3(-3 + 2x) + 4 = -1x + -5 + 3x
2x + (-3 * -3 + 2x * -3) + 4 = -1x + -5 + 3x
2x + (9 + -6x) + 4 = -1x + -5 + 3x

Reorder the terms:
9 + 4 + 2x + -6x = -1x + -5 + 3x

Combine like terms: 9 + 4 = 13
13 + 2x + -6x = -1x + -5 + 3x

Combine like terms: 2x + -6x = -4x
13 + -4x = -1x + -5 + 3x

Reorder the terms:
13 + -4x = -5 + -1x + 3x

Combine like terms: -1x + 3x = 2x
13 + -4x = -5 + 2x

Solving
13 + -4x = -5 + 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.
13 + -4x + -2x = -5 + 2x + -2x

Combine like terms: -4x + -2x = -6x
13 + -6x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
13 + -6x = -5 + 0
13 + -6x = -5

Add '-13' to each side of the equation.
13 + -13 + -6x = -5 + -13

Combine like terms: 13 + -13 = 0
0 + -6x = -5 + -13
-6x = -5 + -13

Combine like terms: -5 + -13 = -18
-6x = -18

Divide each side by '-6'.
x = 3

Simplifying
x = 3

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