3(-x-4)=3x+5(x+2)

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Solution for 3(-x-4)=3x+5(x+2) equation:


Simplifying
3(-1x + -4) = 3x + 5(x + 2)

Reorder the terms:
3(-4 + -1x) = 3x + 5(x + 2)
(-4 * 3 + -1x * 3) = 3x + 5(x + 2)
(-12 + -3x) = 3x + 5(x + 2)

Reorder the terms:
-12 + -3x = 3x + 5(2 + x)
-12 + -3x = 3x + (2 * 5 + x * 5)
-12 + -3x = 3x + (10 + 5x)

Reorder the terms:
-12 + -3x = 10 + 3x + 5x

Combine like terms: 3x + 5x = 8x
-12 + -3x = 10 + 8x

Solving
-12 + -3x = 10 + 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.
-12 + -3x + -8x = 10 + 8x + -8x

Combine like terms: -3x + -8x = -11x
-12 + -11x = 10 + 8x + -8x

Combine like terms: 8x + -8x = 0
-12 + -11x = 10 + 0
-12 + -11x = 10

Add '12' to each side of the equation.
-12 + 12 + -11x = 10 + 12

Combine like terms: -12 + 12 = 0
0 + -11x = 10 + 12
-11x = 10 + 12

Combine like terms: 10 + 12 = 22
-11x = 22

Divide each side by '-11'.
x = -2

Simplifying
x = -2

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