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 = 62
62 + -10x = -1(-6x + -10) + 4

Reorder the terms:
62 + -10x = -1(-10 + -6x) + 4
62 + -10x = (-10 * -1 + -6x * -1) + 4
62 + -10x = (10 + 6x) + 4

Reorder the terms:
62 + -10x = 10 + 4 + 6x

Combine like terms: 10 + 4 = 14
62 + -10x = 14 + 6x

Solving
62 + -10x = 14 + 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.
62 + -10x + -6x = 14 + 6x + -6x

Combine like terms: -10x + -6x = -16x
62 + -16x = 14 + 6x + -6x

Combine like terms: 6x + -6x = 0
62 + -16x = 14 + 0
62 + -16x = 14

Add '-62' to each side of the equation.
62 + -62 + -16x = 14 + -62

Combine like terms: 62 + -62 = 0
0 + -16x = 14 + -62
-16x = 14 + -62

Combine like terms: 14 + -62 = -48
-16x = -48

Divide each side by '-16'.
x = 3

Simplifying
x = 3

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