x-(9x-10)+11=12x+3(-2x+3)

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Solution for x-(9x-10)+11=12x+3(-2x+3) equation:


Simplifying
x + -1(9x + -10) + 11 = 12x + 3(-2x + 3)

Reorder the terms:
x + -1(-10 + 9x) + 11 = 12x + 3(-2x + 3)
x + (-10 * -1 + 9x * -1) + 11 = 12x + 3(-2x + 3)
x + (10 + -9x) + 11 = 12x + 3(-2x + 3)

Reorder the terms:
10 + 11 + x + -9x = 12x + 3(-2x + 3)

Combine like terms: 10 + 11 = 21
21 + x + -9x = 12x + 3(-2x + 3)

Combine like terms: x + -9x = -8x
21 + -8x = 12x + 3(-2x + 3)

Reorder the terms:
21 + -8x = 12x + 3(3 + -2x)
21 + -8x = 12x + (3 * 3 + -2x * 3)
21 + -8x = 12x + (9 + -6x)

Reorder the terms:
21 + -8x = 9 + 12x + -6x

Combine like terms: 12x + -6x = 6x
21 + -8x = 9 + 6x

Solving
21 + -8x = 9 + 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.
21 + -8x + -6x = 9 + 6x + -6x

Combine like terms: -8x + -6x = -14x
21 + -14x = 9 + 6x + -6x

Combine like terms: 6x + -6x = 0
21 + -14x = 9 + 0
21 + -14x = 9

Add '-21' to each side of the equation.
21 + -21 + -14x = 9 + -21

Combine like terms: 21 + -21 = 0
0 + -14x = 9 + -21
-14x = 9 + -21

Combine like terms: 9 + -21 = -12
-14x = -12

Divide each side by '-14'.
x = 0.8571428571

Simplifying
x = 0.8571428571

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