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

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


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

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

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

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

Remove parenthesis around (-5 + 3x)
6 + -3x = 2x + -5 + 3x

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

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

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

Combine like terms: -3x + -5x = -8x
6 + -8x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -8x = -5 + 0
6 + -8x = -5

Add '-6' to each side of the equation.
6 + -6 + -8x = -5 + -6

Combine like terms: 6 + -6 = 0
0 + -8x = -5 + -6
-8x = -5 + -6

Combine like terms: -5 + -6 = -11
-8x = -11

Divide each side by '-8'.
x = 1.375

Simplifying
x = 1.375

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