21+8x=x-7(4-8x)

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Solution for 21+8x=x-7(4-8x) equation: 


Simplifying
21 + 8x = x + -7(4 + -8x)
21 + 8x = x + (4 * -7 + -8x * -7)
21 + 8x = x + (-28 + 56x)

Reorder the terms:
21 + 8x = -28 + x + 56x

Combine like terms: x + 56x = 57x
21 + 8x = -28 + 57x

Solving
21 + 8x = -28 + 57x

Solving for variable 'x'.

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

Add '-57x' to each side of the equation.
21 + 8x + -57x = -28 + 57x + -57x

Combine like terms: 8x + -57x = -49x
21 + -49x = -28 + 57x + -57x

Combine like terms: 57x + -57x = 0
21 + -49x = -28 + 0
21 + -49x = -28

Add '-21' to each side of the equation.
21 + -21 + -49x = -28 + -21

Combine like terms: 21 + -21 = 0
0 + -49x = -28 + -21
-49x = -28 + -21

Combine like terms: -28 + -21 = -49
-49x = -49

Divide each side by '-49'.
x = 1

Simplifying
x = 1

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