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

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


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

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

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

Reorder the terms:
-5 + 5x = 5(-2 + x) + -1x
-5 + 5x = (-2 * 5 + x * 5) + -1x
-5 + 5x = (-10 + 5x) + -1x

Combine like terms: 5x + -1x = 4x
-5 + 5x = -10 + 4x

Solving
-5 + 5x = -10 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-5 + 5x + -4x = -10 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-5 + 1x = -10 + 4x + -4x

Combine like terms: 4x + -4x = 0
-5 + 1x = -10 + 0
-5 + 1x = -10

Add '5' to each side of the equation.
-5 + 5 + 1x = -10 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = -10 + 5
1x = -10 + 5

Combine like terms: -10 + 5 = -5
1x = -5

Divide each side by '1'.
x = -5

Simplifying
x = -5

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