7x+21=8x-2

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Solution for 7x+21=8x-2 equation:


Simplifying
7x + 21 = 8x + -2

Reorder the terms:
21 + 7x = 8x + -2

Reorder the terms:
21 + 7x = -2 + 8x

Solving
21 + 7x = -2 + 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.
21 + 7x + -8x = -2 + 8x + -8x

Combine like terms: 7x + -8x = -1x
21 + -1x = -2 + 8x + -8x

Combine like terms: 8x + -8x = 0
21 + -1x = -2 + 0
21 + -1x = -2

Add '-21' to each side of the equation.
21 + -21 + -1x = -2 + -21

Combine like terms: 21 + -21 = 0
0 + -1x = -2 + -21
-1x = -2 + -21

Combine like terms: -2 + -21 = -23
-1x = -23

Divide each side by '-1'.
x = 23

Simplifying
x = 23

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