8-[2x+(9-3x)]=6x-5

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Solution for 8-[2x+(9-3x)]=6x-5 equation:


Simplifying
8 + -1[2x + (9 + -3x)] = 6x + -5

Remove parenthesis around (9 + -3x)
8 + -1[2x + 9 + -3x] = 6x + -5

Reorder the terms:
8 + -1[9 + 2x + -3x] = 6x + -5

Combine like terms: 2x + -3x = -1x
8 + -1[9 + -1x] = 6x + -5
8 + [9 * -1 + -1x * -1] = 6x + -5
8 + [-9 + 1x] = 6x + -5

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

Reorder the terms:
-1 + 1x = -5 + 6x

Solving
-1 + 1x = -5 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-1 + 1x + -6x = -5 + 6x + -6x

Combine like terms: 1x + -6x = -5x
-1 + -5x = -5 + 6x + -6x

Combine like terms: 6x + -6x = 0
-1 + -5x = -5 + 0
-1 + -5x = -5

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

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

Combine like terms: -5 + 1 = -4
-5x = -4

Divide each side by '-5'.
x = 0.8

Simplifying
x = 0.8

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