8x+9=2(x-10)+12

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Solution for 8x+9=2(x-10)+12 equation:


Simplifying
8x + 9 = 2(x + -10) + 12

Reorder the terms:
9 + 8x = 2(x + -10) + 12

Reorder the terms:
9 + 8x = 2(-10 + x) + 12
9 + 8x = (-10 * 2 + x * 2) + 12
9 + 8x = (-20 + 2x) + 12

Reorder the terms:
9 + 8x = -20 + 12 + 2x

Combine like terms: -20 + 12 = -8
9 + 8x = -8 + 2x

Solving
9 + 8x = -8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
9 + 8x + -2x = -8 + 2x + -2x

Combine like terms: 8x + -2x = 6x
9 + 6x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
9 + 6x = -8 + 0
9 + 6x = -8

Add '-9' to each side of the equation.
9 + -9 + 6x = -8 + -9

Combine like terms: 9 + -9 = 0
0 + 6x = -8 + -9
6x = -8 + -9

Combine like terms: -8 + -9 = -17
6x = -17

Divide each side by '6'.
x = -2.833333333

Simplifying
x = -2.833333333

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