1-(-1x)+2(x+3)=4-(6-x)

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Solution for 1-(-1x)+2(x+3)=4-(6-x) equation:


Simplifying
1 + -1(-1x) + 2(x + 3) = 4 + -1(6 + -1x)

Remove parenthesis around (-1x)
1 + -1 * -1x + 2(x + 3) = 4 + -1(6 + -1x)

Multiply -1 * -1
1 + 1x + 2(x + 3) = 4 + -1(6 + -1x)

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

Reorder the terms:
1 + 6 + 1x + 2x = 4 + -1(6 + -1x)

Combine like terms: 1 + 6 = 7
7 + 1x + 2x = 4 + -1(6 + -1x)

Combine like terms: 1x + 2x = 3x
7 + 3x = 4 + -1(6 + -1x)
7 + 3x = 4 + (6 * -1 + -1x * -1)
7 + 3x = 4 + (-6 + 1x)

Combine like terms: 4 + -6 = -2
7 + 3x = -2 + 1x

Solving
7 + 3x = -2 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
7 + 3x + -1x = -2 + 1x + -1x

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

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

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

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

Combine like terms: -2 + -7 = -9
2x = -9

Divide each side by '2'.
x = -4.5

Simplifying
x = -4.5

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