8x-3(x+6)=x+17

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Solution for 8x-3(x+6)=x+17 equation:


Simplifying
8x + -3(x + 6) = x + 17

Reorder the terms:
8x + -3(6 + x) = x + 17
8x + (6 * -3 + x * -3) = x + 17
8x + (-18 + -3x) = x + 17

Reorder the terms:
-18 + 8x + -3x = x + 17

Combine like terms: 8x + -3x = 5x
-18 + 5x = x + 17

Reorder the terms:
-18 + 5x = 17 + x

Solving
-18 + 5x = 17 + 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 + 5x + -1x = 17 + x + -1x

Combine like terms: 5x + -1x = 4x
-18 + 4x = 17 + x + -1x

Combine like terms: x + -1x = 0
-18 + 4x = 17 + 0
-18 + 4x = 17

Add '18' to each side of the equation.
-18 + 18 + 4x = 17 + 18

Combine like terms: -18 + 18 = 0
0 + 4x = 17 + 18
4x = 17 + 18

Combine like terms: 17 + 18 = 35
4x = 35

Divide each side by '4'.
x = 8.75

Simplifying
x = 8.75

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