-8(x-7)+5(7x+3)=17

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Solution for -8(x-7)+5(7x+3)=17 equation:


Simplifying
-8(x + -7) + 5(7x + 3) = 17

Reorder the terms:
-8(-7 + x) + 5(7x + 3) = 17
(-7 * -8 + x * -8) + 5(7x + 3) = 17
(56 + -8x) + 5(7x + 3) = 17

Reorder the terms:
56 + -8x + 5(3 + 7x) = 17
56 + -8x + (3 * 5 + 7x * 5) = 17
56 + -8x + (15 + 35x) = 17

Reorder the terms:
56 + 15 + -8x + 35x = 17

Combine like terms: 56 + 15 = 71
71 + -8x + 35x = 17

Combine like terms: -8x + 35x = 27x
71 + 27x = 17

Solving
71 + 27x = 17

Solving for variable 'x'.

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

Add '-71' to each side of the equation.
71 + -71 + 27x = 17 + -71

Combine like terms: 71 + -71 = 0
0 + 27x = 17 + -71
27x = 17 + -71

Combine like terms: 17 + -71 = -54
27x = -54

Divide each side by '27'.
x = -2

Simplifying
x = -2

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