3x+(17-9x)-(16-10)=30-23x

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Solution for 3x+(17-9x)-(16-10)=30-23x equation:


Simplifying
3x + (17 + -9x) + -1(16 + -10) = 30 + -23x

Remove parenthesis around (17 + -9x)
3x + 17 + -9x + -1(16 + -10) = 30 + -23x

Combine like terms: 16 + -10 = 6
3x + 17 + -9x + -1(6) = 30 + -23x

Multiply -1 * 6
3x + 17 + -9x + -6 = 30 + -23x

Reorder the terms:
17 + -6 + 3x + -9x = 30 + -23x

Combine like terms: 17 + -6 = 11
11 + 3x + -9x = 30 + -23x

Combine like terms: 3x + -9x = -6x
11 + -6x = 30 + -23x

Solving
11 + -6x = 30 + -23x

Solving for variable 'x'.

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

Add '23x' to each side of the equation.
11 + -6x + 23x = 30 + -23x + 23x

Combine like terms: -6x + 23x = 17x
11 + 17x = 30 + -23x + 23x

Combine like terms: -23x + 23x = 0
11 + 17x = 30 + 0
11 + 17x = 30

Add '-11' to each side of the equation.
11 + -11 + 17x = 30 + -11

Combine like terms: 11 + -11 = 0
0 + 17x = 30 + -11
17x = 30 + -11

Combine like terms: 30 + -11 = 19
17x = 19

Divide each side by '17'.
x = 1.117647059

Simplifying
x = 1.117647059

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