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

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


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

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

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

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

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

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-5 + 3x + 3x = 6 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
-5 + 6x = 6 + 0
-5 + 6x = 6

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

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

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

Divide each side by '6'.
x = 1.833333333

Simplifying
x = 1.833333333

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