x+17=8x-11

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Solution for x+17=8x-11 equation:


Simplifying
x + 17 = 8x + -11

Reorder the terms:
17 + x = 8x + -11

Reorder the terms:
17 + x = -11 + 8x

Solving
17 + x = -11 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
17 + x + -8x = -11 + 8x + -8x

Combine like terms: x + -8x = -7x
17 + -7x = -11 + 8x + -8x

Combine like terms: 8x + -8x = 0
17 + -7x = -11 + 0
17 + -7x = -11

Add '-17' to each side of the equation.
17 + -17 + -7x = -11 + -17

Combine like terms: 17 + -17 = 0
0 + -7x = -11 + -17
-7x = -11 + -17

Combine like terms: -11 + -17 = -28
-7x = -28

Divide each side by '-7'.
x = 4

Simplifying
x = 4

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