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

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


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

Reorder the terms:
(-5 + 8x) + 7 = 9(x + 7)

Remove parenthesis around (-5 + 8x)
-5 + 8x + 7 = 9(x + 7)

Reorder the terms:
-5 + 7 + 8x = 9(x + 7)

Combine like terms: -5 + 7 = 2
2 + 8x = 9(x + 7)

Reorder the terms:
2 + 8x = 9(7 + x)
2 + 8x = (7 * 9 + x * 9)
2 + 8x = (63 + 9x)

Solving
2 + 8x = 63 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
2 + 8x + -9x = 63 + 9x + -9x

Combine like terms: 8x + -9x = -1x
2 + -1x = 63 + 9x + -9x

Combine like terms: 9x + -9x = 0
2 + -1x = 63 + 0
2 + -1x = 63

Add '-2' to each side of the equation.
2 + -2 + -1x = 63 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 63 + -2
-1x = 63 + -2

Combine like terms: 63 + -2 = 61
-1x = 61

Divide each side by '-1'.
x = -61

Simplifying
x = -61

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