21-7x=-4(7x+4)-4(-5-5x)

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Solution for 21-7x=-4(7x+4)-4(-5-5x) equation: 


Simplifying
21 + -7x = -4(7x + 4) + -4(-5 + -5x)

Reorder the terms:
21 + -7x = -4(4 + 7x) + -4(-5 + -5x)
21 + -7x = (4 * -4 + 7x * -4) + -4(-5 + -5x)
21 + -7x = (-16 + -28x) + -4(-5 + -5x)
21 + -7x = -16 + -28x + (-5 * -4 + -5x * -4)
21 + -7x = -16 + -28x + (20 + 20x)

Reorder the terms:
21 + -7x = -16 + 20 + -28x + 20x

Combine like terms: -16 + 20 = 4
21 + -7x = 4 + -28x + 20x

Combine like terms: -28x + 20x = -8x
21 + -7x = 4 + -8x

Solving
21 + -7x = 4 + -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 = 4 + -8x + 8x

Combine like terms: -7x + 8x = 1x
21 + 1x = 4 + -8x + 8x

Combine like terms: -8x + 8x = 0
21 + 1x = 4 + 0
21 + 1x = 4

Add '-21' to each side of the equation.
21 + -21 + 1x = 4 + -21

Combine like terms: 21 + -21 = 0
0 + 1x = 4 + -21
1x = 4 + -21

Combine like terms: 4 + -21 = -17
1x = -17

Divide each side by '1'.
x = -17

Simplifying
x = -17

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