x-9=8(2x+13)-18

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Solution for x-9=8(2x+13)-18 equation:


Simplifying
x + -9 = 8(2x + 13) + -18

Reorder the terms:
-9 + x = 8(2x + 13) + -18

Reorder the terms:
-9 + x = 8(13 + 2x) + -18
-9 + x = (13 * 8 + 2x * 8) + -18
-9 + x = (104 + 16x) + -18

Reorder the terms:
-9 + x = 104 + -18 + 16x

Combine like terms: 104 + -18 = 86
-9 + x = 86 + 16x

Solving
-9 + x = 86 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-9 + x + -16x = 86 + 16x + -16x

Combine like terms: x + -16x = -15x
-9 + -15x = 86 + 16x + -16x

Combine like terms: 16x + -16x = 0
-9 + -15x = 86 + 0
-9 + -15x = 86

Add '9' to each side of the equation.
-9 + 9 + -15x = 86 + 9

Combine like terms: -9 + 9 = 0
0 + -15x = 86 + 9
-15x = 86 + 9

Combine like terms: 86 + 9 = 95
-15x = 95

Divide each side by '-15'.
x = -6.333333333

Simplifying
x = -6.333333333

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