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) = (-6x + 10) + 4

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

Combine like terms: 17 + 45 = 62
62 + -10x = (-6x + 10) + 4

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

Remove parenthesis around (10 + -6x)
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 = -4x
62 + -4x = 14 + -6x + 6x

Combine like terms: -6x + 6x = 0
62 + -4x = 14 + 0
62 + -4x = 14

Add '-62' to each side of the equation.
62 + -62 + -4x = 14 + -62

Combine like terms: 62 + -62 = 0
0 + -4x = 14 + -62
-4x = 14 + -62

Combine like terms: 14 + -62 = -48
-4x = -48

Divide each side by '-4'.
x = 12

Simplifying
x = 12

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