(x-5)*2+x-8=x+19

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Solution for (x-5)*2+x-8=x+19 equation:


Simplifying
(x + -5) * 2 + x + -8 = x + 19

Reorder the terms:
(-5 + x) * 2 + x + -8 = x + 19

Reorder the terms for easier multiplication:
2(-5 + x) + x + -8 = x + 19
(-5 * 2 + x * 2) + x + -8 = x + 19
(-10 + 2x) + x + -8 = x + 19

Reorder the terms:
-10 + -8 + 2x + x = x + 19

Combine like terms: -10 + -8 = -18
-18 + 2x + x = x + 19

Combine like terms: 2x + x = 3x
-18 + 3x = x + 19

Reorder the terms:
-18 + 3x = 19 + x

Solving
-18 + 3x = 19 + 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.
-18 + 3x + -1x = 19 + x + -1x

Combine like terms: 3x + -1x = 2x
-18 + 2x = 19 + x + -1x

Combine like terms: x + -1x = 0
-18 + 2x = 19 + 0
-18 + 2x = 19

Add '18' to each side of the equation.
-18 + 18 + 2x = 19 + 18

Combine like terms: -18 + 18 = 0
0 + 2x = 19 + 18
2x = 19 + 18

Combine like terms: 19 + 18 = 37
2x = 37

Divide each side by '2'.
x = 18.5

Simplifying
x = 18.5

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