8(x+7)-(5x-2)=9

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Solution for 8(x+7)-(5x-2)=9 equation:


Simplifying
8(x + 7) + -1(5x + -2) = 9

Reorder the terms:
8(7 + x) + -1(5x + -2) = 9
(7 * 8 + x * 8) + -1(5x + -2) = 9
(56 + 8x) + -1(5x + -2) = 9

Reorder the terms:
56 + 8x + -1(-2 + 5x) = 9
56 + 8x + (-2 * -1 + 5x * -1) = 9
56 + 8x + (2 + -5x) = 9

Reorder the terms:
56 + 2 + 8x + -5x = 9

Combine like terms: 56 + 2 = 58
58 + 8x + -5x = 9

Combine like terms: 8x + -5x = 3x
58 + 3x = 9

Solving
58 + 3x = 9

Solving for variable 'x'.

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

Add '-58' to each side of the equation.
58 + -58 + 3x = 9 + -58

Combine like terms: 58 + -58 = 0
0 + 3x = 9 + -58
3x = 9 + -58

Combine like terms: 9 + -58 = -49
3x = -49

Divide each side by '3'.
x = -16.33333333

Simplifying
x = -16.33333333

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