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

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


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

Reorder the terms:
2(-5 + x) + x = (x + -4) + 2
(-5 * 2 + x * 2) + x = (x + -4) + 2
(-10 + 2x) + x = (x + -4) + 2

Combine like terms: 2x + x = 3x
-10 + 3x = (x + -4) + 2

Reorder the terms:
-10 + 3x = (-4 + x) + 2

Remove parenthesis around (-4 + x)
-10 + 3x = -4 + x + 2

Reorder the terms:
-10 + 3x = -4 + 2 + x

Combine like terms: -4 + 2 = -2
-10 + 3x = -2 + x

Solving
-10 + 3x = -2 + x

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.
-10 + 3x + -1x = -2 + x + -1x

Combine like terms: 3x + -1x = 2x
-10 + 2x = -2 + x + -1x

Combine like terms: x + -1x = 0
-10 + 2x = -2 + 0
-10 + 2x = -2

Add '10' to each side of the equation.
-10 + 10 + 2x = -2 + 10

Combine like terms: -10 + 10 = 0
0 + 2x = -2 + 10
2x = -2 + 10

Combine like terms: -2 + 10 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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