6x-(5x+8)=10x-(x-9)

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Solution for 6x-(5x+8)=10x-(x-9) equation:


Simplifying
6x + -1(5x + 8) = 10x + -1(x + -9)

Reorder the terms:
6x + -1(8 + 5x) = 10x + -1(x + -9)
6x + (8 * -1 + 5x * -1) = 10x + -1(x + -9)
6x + (-8 + -5x) = 10x + -1(x + -9)

Reorder the terms:
-8 + 6x + -5x = 10x + -1(x + -9)

Combine like terms: 6x + -5x = 1x
-8 + 1x = 10x + -1(x + -9)

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

Reorder the terms:
-8 + 1x = 9 + 10x + -1x

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

Solving
-8 + 1x = 9 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-8 + 1x + -9x = 9 + 9x + -9x

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

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

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

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

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

Divide each side by '-8'.
x = -2.125

Simplifying
x = -2.125

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