3x-21=-8(x+4)

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Solution for 3x-21=-8(x+4) equation:


Simplifying
3x + -21 = -8(x + 4)

Reorder the terms:
-21 + 3x = -8(x + 4)

Reorder the terms:
-21 + 3x = -8(4 + x)
-21 + 3x = (4 * -8 + x * -8)
-21 + 3x = (-32 + -8x)

Solving
-21 + 3x = -32 + -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 + 3x + 8x = -32 + -8x + 8x

Combine like terms: 3x + 8x = 11x
-21 + 11x = -32 + -8x + 8x

Combine like terms: -8x + 8x = 0
-21 + 11x = -32 + 0
-21 + 11x = -32

Add '21' to each side of the equation.
-21 + 21 + 11x = -32 + 21

Combine like terms: -21 + 21 = 0
0 + 11x = -32 + 21
11x = -32 + 21

Combine like terms: -32 + 21 = -11
11x = -11

Divide each side by '11'.
x = -1

Simplifying
x = -1

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