x+28=8x-7

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Solution for x+28=8x-7 equation:


Simplifying
x + 28 = 8x + -7

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

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

Solving
28 + x = -7 + 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.
28 + x + -8x = -7 + 8x + -8x

Combine like terms: x + -8x = -7x
28 + -7x = -7 + 8x + -8x

Combine like terms: 8x + -8x = 0
28 + -7x = -7 + 0
28 + -7x = -7

Add '-28' to each side of the equation.
28 + -28 + -7x = -7 + -28

Combine like terms: 28 + -28 = 0
0 + -7x = -7 + -28
-7x = -7 + -28

Combine like terms: -7 + -28 = -35
-7x = -35

Divide each side by '-7'.
x = 5

Simplifying
x = 5

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