7-(3+4x)+2x=-5(x-1)-3

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Solution for 7-(3+4x)+2x=-5(x-1)-3 equation:


Simplifying
7 + -1(3 + 4x) + 2x = -5(x + -1) + -3
7 + (3 * -1 + 4x * -1) + 2x = -5(x + -1) + -3
7 + (-3 + -4x) + 2x = -5(x + -1) + -3

Combine like terms: 7 + -3 = 4
4 + -4x + 2x = -5(x + -1) + -3

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

Reorder the terms:
4 + -2x = -5(-1 + x) + -3
4 + -2x = (-1 * -5 + x * -5) + -3
4 + -2x = (5 + -5x) + -3

Reorder the terms:
4 + -2x = 5 + -3 + -5x

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

Solving
4 + -2x = 2 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
4 + -2x + 5x = 2 + -5x + 5x

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

Combine like terms: -5x + 5x = 0
4 + 3x = 2 + 0
4 + 3x = 2

Add '-4' to each side of the equation.
4 + -4 + 3x = 2 + -4

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

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

Divide each side by '3'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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