x+8=-7x+16

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Solution for x+8=-7x+16 equation:


Simplifying
x + 8 = -7x + 16

Reorder the terms:
8 + x = -7x + 16

Reorder the terms:
8 + x = 16 + -7x

Solving
8 + x = 16 + -7x

Solving for variable 'x'.

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

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

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

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

Add '-8' to each side of the equation.
8 + -8 + 8x = 16 + -8

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

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

Divide each side by '8'.
x = 1

Simplifying
x = 1

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