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

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


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

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

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

Reorder the terms:
-8 + 2x = -3 + x + -3x

Combine like terms: x + -3x = -2x
-8 + 2x = -3 + -2x

Solving
-8 + 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.
-8 + 2x + 2x = -3 + -2x + 2x

Combine like terms: 2x + 2x = 4x
-8 + 4x = -3 + -2x + 2x

Combine like terms: -2x + 2x = 0
-8 + 4x = -3 + 0
-8 + 4x = -3

Add '8' to each side of the equation.
-8 + 8 + 4x = -3 + 8

Combine like terms: -8 + 8 = 0
0 + 4x = -3 + 8
4x = -3 + 8

Combine like terms: -3 + 8 = 5
4x = 5

Divide each side by '4'.
x = 1.25

Simplifying
x = 1.25

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