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

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


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

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

Reorder the terms:
17 + x = 4(-2 + x) + x
17 + x = (-2 * 4 + x * 4) + x
17 + x = (-8 + 4x) + x

Combine like terms: 4x + x = 5x
17 + x = -8 + 5x

Solving
17 + x = -8 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
17 + x + -5x = -8 + 5x + -5x

Combine like terms: x + -5x = -4x
17 + -4x = -8 + 5x + -5x

Combine like terms: 5x + -5x = 0
17 + -4x = -8 + 0
17 + -4x = -8

Add '-17' to each side of the equation.
17 + -17 + -4x = -8 + -17

Combine like terms: 17 + -17 = 0
0 + -4x = -8 + -17
-4x = -8 + -17

Combine like terms: -8 + -17 = -25
-4x = -25

Divide each side by '-4'.
x = 6.25

Simplifying
x = 6.25

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