(x-5)=3x-2(x-1)+25

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Solution for (x-5)=3x-2(x-1)+25 equation:


Simplifying
(x + -5) = 3x + -2(x + -1) + 25

Reorder the terms:
(-5 + x) = 3x + -2(x + -1) + 25

Remove parenthesis around (-5 + x)
-5 + x = 3x + -2(x + -1) + 25

Reorder the terms:
-5 + x = 3x + -2(-1 + x) + 25
-5 + x = 3x + (-1 * -2 + x * -2) + 25
-5 + x = 3x + (2 + -2x) + 25

Reorder the terms:
-5 + x = 2 + 25 + 3x + -2x

Combine like terms: 2 + 25 = 27
-5 + x = 27 + 3x + -2x

Combine like terms: 3x + -2x = 1x
-5 + x = 27 + 1x

Solving
-5 + x = 27 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-5 + x + -1x = 27 + 1x + -1x

Combine like terms: x + -1x = 0
-5 + 0 = 27 + 1x + -1x
-5 = 27 + 1x + -1x

Combine like terms: 1x + -1x = 0
-5 = 27 + 0
-5 = 27

Add '5' to each side of the equation.
-5 + 5 = 27 + 5

Combine like terms: -5 + 5 = 0
0 = 27 + 5

Combine like terms: 27 + 5 = 32
0 = 32

Simplifying
0 = 32

Combine like terms: 0 + -32 = -32
-32 = 32 + -32

Combine like terms: 32 + -32 = 0
-32 = 0

The solution to this equation could not be determined.

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