-(1+7x)-(-3x+2)=2+3-x

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Solution for -(1+7x)-(-3x+2)=2+3-x equation: 


Simplifying
-1(1 + 7x) + -1(-3x + 2) = 2 + 3 + -1x
(1 * -1 + 7x * -1) + -1(-3x + 2) = 2 + 3 + -1x
(-1 + -7x) + -1(-3x + 2) = 2 + 3 + -1x

Reorder the terms:
-1 + -7x + -1(2 + -3x) = 2 + 3 + -1x
-1 + -7x + (2 * -1 + -3x * -1) = 2 + 3 + -1x
-1 + -7x + (-2 + 3x) = 2 + 3 + -1x

Reorder the terms:
-1 + -2 + -7x + 3x = 2 + 3 + -1x

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

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

Combine like terms: 2 + 3 = 5
-3 + -4x = 5 + -1x

Solving
-3 + -4x = 5 + -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.
-3 + -4x + x = 5 + -1x + x

Combine like terms: -4x + x = -3x
-3 + -3x = 5 + -1x + x

Combine like terms: -1x + x = 0
-3 + -3x = 5 + 0
-3 + -3x = 5

Add '3' to each side of the equation.
-3 + 3 + -3x = 5 + 3

Combine like terms: -3 + 3 = 0
0 + -3x = 5 + 3
-3x = 5 + 3

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

Divide each side by '-3'.
x = -2.666666667

Simplifying
x = -2.666666667

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