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

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


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

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

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

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

Combine like terms: 1 + 6 = 7
-1 + -1x = 7 + -3x

Solving
-1 + -1x = 7 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-1 + -1x + 3x = 7 + -3x + 3x

Combine like terms: -1x + 3x = 2x
-1 + 2x = 7 + -3x + 3x

Combine like terms: -3x + 3x = 0
-1 + 2x = 7 + 0
-1 + 2x = 7

Add '1' to each side of the equation.
-1 + 1 + 2x = 7 + 1

Combine like terms: -1 + 1 = 0
0 + 2x = 7 + 1
2x = 7 + 1

Combine like terms: 7 + 1 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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