-17-5(2x-9)=-(6x+10)+4

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Solution for -17-5(2x-9)=-(6x+10)+4 equation:


Simplifying
-17 + -5(2x + -9) = -1(6x + 10) + 4

Reorder the terms:
-17 + -5(-9 + 2x) = -1(6x + 10) + 4
-17 + (-9 * -5 + 2x * -5) = -1(6x + 10) + 4
-17 + (45 + -10x) = -1(6x + 10) + 4

Combine like terms: -17 + 45 = 28
28 + -10x = -1(6x + 10) + 4

Reorder the terms:
28 + -10x = -1(10 + 6x) + 4
28 + -10x = (10 * -1 + 6x * -1) + 4
28 + -10x = (-10 + -6x) + 4

Reorder the terms:
28 + -10x = -10 + 4 + -6x

Combine like terms: -10 + 4 = -6
28 + -10x = -6 + -6x

Solving
28 + -10x = -6 + -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.
28 + -10x + 6x = -6 + -6x + 6x

Combine like terms: -10x + 6x = -4x
28 + -4x = -6 + -6x + 6x

Combine like terms: -6x + 6x = 0
28 + -4x = -6 + 0
28 + -4x = -6

Add '-28' to each side of the equation.
28 + -28 + -4x = -6 + -28

Combine like terms: 28 + -28 = 0
0 + -4x = -6 + -28
-4x = -6 + -28

Combine like terms: -6 + -28 = -34
-4x = -34

Divide each side by '-4'.
x = 8.5

Simplifying
x = 8.5

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