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

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


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

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

Remove parenthesis around (-3 + -2x)
-3 + -2x + -4x + 1 = -3x + 7

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

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

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

Reorder the terms:
-2 + -6x = 7 + -3x

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

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

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

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

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

Combine like terms: 7 + 2 = 9
-3x = 9

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

Simplifying
x = -3

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