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

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Solution for 2(x-4)+8=x-3(x+1) equation:


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

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

Reorder the terms:
-8 + 8 + 2x = x + -3(x + 1)

Combine like terms: -8 + 8 = 0
0 + 2x = x + -3(x + 1)
2x = x + -3(x + 1)

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

Reorder the terms:
2x = -3 + x + -3x

Combine like terms: x + -3x = -2x
2x = -3 + -2x

Solving
2x = -3 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
2x + 2x = -3 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
4x = -3 + 0
4x = -3

Divide each side by '4'.
x = -0.75

Simplifying
x = -0.75

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