7(x+9)+2=-8(x-3)-6

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Solution for 7(x+9)+2=-8(x-3)-6 equation:


Simplifying
7(x + 9) + 2 = -8(x + -3) + -6

Reorder the terms:
7(9 + x) + 2 = -8(x + -3) + -6
(9 * 7 + x * 7) + 2 = -8(x + -3) + -6
(63 + 7x) + 2 = -8(x + -3) + -6

Reorder the terms:
63 + 2 + 7x = -8(x + -3) + -6

Combine like terms: 63 + 2 = 65
65 + 7x = -8(x + -3) + -6

Reorder the terms:
65 + 7x = -8(-3 + x) + -6
65 + 7x = (-3 * -8 + x * -8) + -6
65 + 7x = (24 + -8x) + -6

Reorder the terms:
65 + 7x = 24 + -6 + -8x

Combine like terms: 24 + -6 = 18
65 + 7x = 18 + -8x

Solving
65 + 7x = 18 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
65 + 7x + 8x = 18 + -8x + 8x

Combine like terms: 7x + 8x = 15x
65 + 15x = 18 + -8x + 8x

Combine like terms: -8x + 8x = 0
65 + 15x = 18 + 0
65 + 15x = 18

Add '-65' to each side of the equation.
65 + -65 + 15x = 18 + -65

Combine like terms: 65 + -65 = 0
0 + 15x = 18 + -65
15x = 18 + -65

Combine like terms: 18 + -65 = -47
15x = -47

Divide each side by '15'.
x = -3.133333333

Simplifying
x = -3.133333333

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