-(3x+1)-(4x-7)=4-(3x+2)

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Solution for -(3x+1)-(4x-7)=4-(3x+2) equation:


Simplifying
-1(3x + 1) + -1(4x + -7) = 4 + -1(3x + 2)

Reorder the terms:
-1(1 + 3x) + -1(4x + -7) = 4 + -1(3x + 2)
(1 * -1 + 3x * -1) + -1(4x + -7) = 4 + -1(3x + 2)
(-1 + -3x) + -1(4x + -7) = 4 + -1(3x + 2)

Reorder the terms:
-1 + -3x + -1(-7 + 4x) = 4 + -1(3x + 2)
-1 + -3x + (-7 * -1 + 4x * -1) = 4 + -1(3x + 2)
-1 + -3x + (7 + -4x) = 4 + -1(3x + 2)

Reorder the terms:
-1 + 7 + -3x + -4x = 4 + -1(3x + 2)

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

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

Reorder the terms:
6 + -7x = 4 + -1(2 + 3x)
6 + -7x = 4 + (2 * -1 + 3x * -1)
6 + -7x = 4 + (-2 + -3x)

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

Solving
6 + -7x = 2 + -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.
6 + -7x + 3x = 2 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
6 + -4x = 2 + 0
6 + -4x = 2

Add '-6' to each side of the equation.
6 + -6 + -4x = 2 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = 2 + -6
-4x = 2 + -6

Combine like terms: 2 + -6 = -4
-4x = -4

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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