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

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


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

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

Reorder the terms:
-4 + 3x + -1x = -1x + 8

Combine like terms: 3x + -1x = 2x
-4 + 2x = -1x + 8

Reorder the terms:
-4 + 2x = 8 + -1x

Solving
-4 + 2x = 8 + -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.
-4 + 2x + x = 8 + -1x + x

Combine like terms: 2x + x = 3x
-4 + 3x = 8 + -1x + x

Combine like terms: -1x + x = 0
-4 + 3x = 8 + 0
-4 + 3x = 8

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

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

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

Divide each side by '3'.
x = 4

Simplifying
x = 4

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