x+16=8(x+9)

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Solution for x+16=8(x+9) equation:


Simplifying
x + 16 = 8(x + 9)

Reorder the terms:
16 + x = 8(x + 9)

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

Solving
16 + x = 72 + 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.
16 + x + -8x = 72 + 8x + -8x

Combine like terms: x + -8x = -7x
16 + -7x = 72 + 8x + -8x

Combine like terms: 8x + -8x = 0
16 + -7x = 72 + 0
16 + -7x = 72

Add '-16' to each side of the equation.
16 + -16 + -7x = 72 + -16

Combine like terms: 16 + -16 = 0
0 + -7x = 72 + -16
-7x = 72 + -16

Combine like terms: 72 + -16 = 56
-7x = 56

Divide each side by '-7'.
x = -8

Simplifying
x = -8

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