9x+5=8(x-2)+2

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Solution for 9x+5=8(x-2)+2 equation:


Simplifying
9x + 5 = 8(x + -2) + 2

Reorder the terms:
5 + 9x = 8(x + -2) + 2

Reorder the terms:
5 + 9x = 8(-2 + x) + 2
5 + 9x = (-2 * 8 + x * 8) + 2
5 + 9x = (-16 + 8x) + 2

Reorder the terms:
5 + 9x = -16 + 2 + 8x

Combine like terms: -16 + 2 = -14
5 + 9x = -14 + 8x

Solving
5 + 9x = -14 + 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.
5 + 9x + -8x = -14 + 8x + -8x

Combine like terms: 9x + -8x = 1x
5 + 1x = -14 + 8x + -8x

Combine like terms: 8x + -8x = 0
5 + 1x = -14 + 0
5 + 1x = -14

Add '-5' to each side of the equation.
5 + -5 + 1x = -14 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = -14 + -5
1x = -14 + -5

Combine like terms: -14 + -5 = -19
1x = -19

Divide each side by '1'.
x = -19

Simplifying
x = -19

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