-3x-2(9+5x)=17-2(2x-2)

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Solution for -3x-2(9+5x)=17-2(2x-2) equation:


Simplifying
-3x + -2(9 + 5x) = 17 + -2(2x + -2)
-3x + (9 * -2 + 5x * -2) = 17 + -2(2x + -2)
-3x + (-18 + -10x) = 17 + -2(2x + -2)

Reorder the terms:
-18 + -3x + -10x = 17 + -2(2x + -2)

Combine like terms: -3x + -10x = -13x
-18 + -13x = 17 + -2(2x + -2)

Reorder the terms:
-18 + -13x = 17 + -2(-2 + 2x)
-18 + -13x = 17 + (-2 * -2 + 2x * -2)
-18 + -13x = 17 + (4 + -4x)

Combine like terms: 17 + 4 = 21
-18 + -13x = 21 + -4x

Solving
-18 + -13x = 21 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-18 + -13x + 4x = 21 + -4x + 4x

Combine like terms: -13x + 4x = -9x
-18 + -9x = 21 + -4x + 4x

Combine like terms: -4x + 4x = 0
-18 + -9x = 21 + 0
-18 + -9x = 21

Add '18' to each side of the equation.
-18 + 18 + -9x = 21 + 18

Combine like terms: -18 + 18 = 0
0 + -9x = 21 + 18
-9x = 21 + 18

Combine like terms: 21 + 18 = 39
-9x = 39

Divide each side by '-9'.
x = -4.333333333

Simplifying
x = -4.333333333

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