-4x-21(x+7)=-8(3x+9)

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Solution for -4x-21(x+7)=-8(3x+9) equation:


Simplifying
-4x + -21(x + 7) = -8(3x + 9)

Reorder the terms:
-4x + -21(7 + x) = -8(3x + 9)
-4x + (7 * -21 + x * -21) = -8(3x + 9)
-4x + (-147 + -21x) = -8(3x + 9)

Reorder the terms:
-147 + -4x + -21x = -8(3x + 9)

Combine like terms: -4x + -21x = -25x
-147 + -25x = -8(3x + 9)

Reorder the terms:
-147 + -25x = -8(9 + 3x)
-147 + -25x = (9 * -8 + 3x * -8)
-147 + -25x = (-72 + -24x)

Solving
-147 + -25x = -72 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
-147 + -25x + 24x = -72 + -24x + 24x

Combine like terms: -25x + 24x = -1x
-147 + -1x = -72 + -24x + 24x

Combine like terms: -24x + 24x = 0
-147 + -1x = -72 + 0
-147 + -1x = -72

Add '147' to each side of the equation.
-147 + 147 + -1x = -72 + 147

Combine like terms: -147 + 147 = 0
0 + -1x = -72 + 147
-1x = -72 + 147

Combine like terms: -72 + 147 = 75
-1x = 75

Divide each side by '-1'.
x = -75

Simplifying
x = -75

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