8x-3(2x+4)=-(x+4)

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Solution for 8x-3(2x+4)=-(x+4) equation:


Simplifying
8x + -3(2x + 4) = -1(x + 4)

Reorder the terms:
8x + -3(4 + 2x) = -1(x + 4)
8x + (4 * -3 + 2x * -3) = -1(x + 4)
8x + (-12 + -6x) = -1(x + 4)

Reorder the terms:
-12 + 8x + -6x = -1(x + 4)

Combine like terms: 8x + -6x = 2x
-12 + 2x = -1(x + 4)

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

Solving
-12 + 2x = -4 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-12 + 2x + x = -4 + -1x + x

Combine like terms: 2x + x = 3x
-12 + 3x = -4 + -1x + x

Combine like terms: -1x + x = 0
-12 + 3x = -4 + 0
-12 + 3x = -4

Add '12' to each side of the equation.
-12 + 12 + 3x = -4 + 12

Combine like terms: -12 + 12 = 0
0 + 3x = -4 + 12
3x = -4 + 12

Combine like terms: -4 + 12 = 8
3x = 8

Divide each side by '3'.
x = 2.666666667

Simplifying
x = 2.666666667

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