3x+5(x+2)-9x=2x-(x+8)

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Solution for 3x+5(x+2)-9x=2x-(x+8) equation:


Simplifying
3x + 5(x + 2) + -9x = 2x + -1(x + 8)

Reorder the terms:
3x + 5(2 + x) + -9x = 2x + -1(x + 8)
3x + (2 * 5 + x * 5) + -9x = 2x + -1(x + 8)
3x + (10 + 5x) + -9x = 2x + -1(x + 8)

Reorder the terms:
10 + 3x + 5x + -9x = 2x + -1(x + 8)

Combine like terms: 3x + 5x = 8x
10 + 8x + -9x = 2x + -1(x + 8)

Combine like terms: 8x + -9x = -1x
10 + -1x = 2x + -1(x + 8)

Reorder the terms:
10 + -1x = 2x + -1(8 + x)
10 + -1x = 2x + (8 * -1 + x * -1)
10 + -1x = 2x + (-8 + -1x)

Reorder the terms:
10 + -1x = -8 + 2x + -1x

Combine like terms: 2x + -1x = 1x
10 + -1x = -8 + 1x

Solving
10 + -1x = -8 + 1x

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.
10 + -1x + -1x = -8 + 1x + -1x

Combine like terms: -1x + -1x = -2x
10 + -2x = -8 + 1x + -1x

Combine like terms: 1x + -1x = 0
10 + -2x = -8 + 0
10 + -2x = -8

Add '-10' to each side of the equation.
10 + -10 + -2x = -8 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = -8 + -10
-2x = -8 + -10

Combine like terms: -8 + -10 = -18
-2x = -18

Divide each side by '-2'.
x = 9

Simplifying
x = 9

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