(x-2)+4=6x-17

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Solution for (x-2)+4=6x-17 equation:


Simplifying
(x + -2) + 4 = 6x + -17

Reorder the terms:
(-2 + x) + 4 = 6x + -17

Remove parenthesis around (-2 + x)
-2 + x + 4 = 6x + -17

Reorder the terms:
-2 + 4 + x = 6x + -17

Combine like terms: -2 + 4 = 2
2 + x = 6x + -17

Reorder the terms:
2 + x = -17 + 6x

Solving
2 + x = -17 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
2 + x + -6x = -17 + 6x + -6x

Combine like terms: x + -6x = -5x
2 + -5x = -17 + 6x + -6x

Combine like terms: 6x + -6x = 0
2 + -5x = -17 + 0
2 + -5x = -17

Add '-2' to each side of the equation.
2 + -2 + -5x = -17 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = -17 + -2
-5x = -17 + -2

Combine like terms: -17 + -2 = -19
-5x = -19

Divide each side by '-5'.
x = 3.8

Simplifying
x = 3.8

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