-4(x+5)=3x-9+3(3x+1)

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Solution for -4(x+5)=3x-9+3(3x+1) equation:


Simplifying
-4(x + 5) = 3x + -9 + 3(3x + 1)

Reorder the terms:
-4(5 + x) = 3x + -9 + 3(3x + 1)
(5 * -4 + x * -4) = 3x + -9 + 3(3x + 1)
(-20 + -4x) = 3x + -9 + 3(3x + 1)

Reorder the terms:
-20 + -4x = 3x + -9 + 3(1 + 3x)
-20 + -4x = 3x + -9 + (1 * 3 + 3x * 3)
-20 + -4x = 3x + -9 + (3 + 9x)

Reorder the terms:
-20 + -4x = -9 + 3 + 3x + 9x

Combine like terms: -9 + 3 = -6
-20 + -4x = -6 + 3x + 9x

Combine like terms: 3x + 9x = 12x
-20 + -4x = -6 + 12x

Solving
-20 + -4x = -6 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-20 + -4x + -12x = -6 + 12x + -12x

Combine like terms: -4x + -12x = -16x
-20 + -16x = -6 + 12x + -12x

Combine like terms: 12x + -12x = 0
-20 + -16x = -6 + 0
-20 + -16x = -6

Add '20' to each side of the equation.
-20 + 20 + -16x = -6 + 20

Combine like terms: -20 + 20 = 0
0 + -16x = -6 + 20
-16x = -6 + 20

Combine like terms: -6 + 20 = 14
-16x = 14

Divide each side by '-16'.
x = -0.875

Simplifying
x = -0.875

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