9(x+8)+6=8(x+6)+4

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Solution for 9(x+8)+6=8(x+6)+4 equation:


Simplifying
9(x + 8) + 6 = 8(x + 6) + 4

Reorder the terms:
9(8 + x) + 6 = 8(x + 6) + 4
(8 * 9 + x * 9) + 6 = 8(x + 6) + 4
(72 + 9x) + 6 = 8(x + 6) + 4

Reorder the terms:
72 + 6 + 9x = 8(x + 6) + 4

Combine like terms: 72 + 6 = 78
78 + 9x = 8(x + 6) + 4

Reorder the terms:
78 + 9x = 8(6 + x) + 4
78 + 9x = (6 * 8 + x * 8) + 4
78 + 9x = (48 + 8x) + 4

Reorder the terms:
78 + 9x = 48 + 4 + 8x

Combine like terms: 48 + 4 = 52
78 + 9x = 52 + 8x

Solving
78 + 9x = 52 + 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.
78 + 9x + -8x = 52 + 8x + -8x

Combine like terms: 9x + -8x = 1x
78 + 1x = 52 + 8x + -8x

Combine like terms: 8x + -8x = 0
78 + 1x = 52 + 0
78 + 1x = 52

Add '-78' to each side of the equation.
78 + -78 + 1x = 52 + -78

Combine like terms: 78 + -78 = 0
0 + 1x = 52 + -78
1x = 52 + -78

Combine like terms: 52 + -78 = -26
1x = -26

Divide each side by '1'.
x = -26

Simplifying
x = -26

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