x+9=8(2x+3)-18

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Solution for x+9=8(2x+3)-18 equation:


Simplifying
x + 9 = 8(2x + 3) + -18

Reorder the terms:
9 + x = 8(2x + 3) + -18

Reorder the terms:
9 + x = 8(3 + 2x) + -18
9 + x = (3 * 8 + 2x * 8) + -18
9 + x = (24 + 16x) + -18

Reorder the terms:
9 + x = 24 + -18 + 16x

Combine like terms: 24 + -18 = 6
9 + x = 6 + 16x

Solving
9 + x = 6 + 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 = 6 + 16x + -16x

Combine like terms: x + -16x = -15x
9 + -15x = 6 + 16x + -16x

Combine like terms: 16x + -16x = 0
9 + -15x = 6 + 0
9 + -15x = 6

Add '-9' to each side of the equation.
9 + -9 + -15x = 6 + -9

Combine like terms: 9 + -9 = 0
0 + -15x = 6 + -9
-15x = 6 + -9

Combine like terms: 6 + -9 = -3
-15x = -3

Divide each side by '-15'.
x = 0.2

Simplifying
x = 0.2

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