-3x-(-2x-1)+4x=-(-3x+7)+(-5x+9)

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Solution for -3x-(-2x-1)+4x=-(-3x+7)+(-5x+9) equation:


Simplifying
-3x + -1(-2x + -1) + 4x = -1(-3x + 7) + (-5x + 9)

Reorder the terms:
-3x + -1(-1 + -2x) + 4x = -1(-3x + 7) + (-5x + 9)
-3x + (-1 * -1 + -2x * -1) + 4x = -1(-3x + 7) + (-5x + 9)
-3x + (1 + 2x) + 4x = -1(-3x + 7) + (-5x + 9)

Reorder the terms:
1 + -3x + 2x + 4x = -1(-3x + 7) + (-5x + 9)

Combine like terms: -3x + 2x = -1x
1 + -1x + 4x = -1(-3x + 7) + (-5x + 9)

Combine like terms: -1x + 4x = 3x
1 + 3x = -1(-3x + 7) + (-5x + 9)

Reorder the terms:
1 + 3x = -1(7 + -3x) + (-5x + 9)
1 + 3x = (7 * -1 + -3x * -1) + (-5x + 9)
1 + 3x = (-7 + 3x) + (-5x + 9)

Reorder the terms:
1 + 3x = -7 + 3x + (9 + -5x)

Remove parenthesis around (9 + -5x)
1 + 3x = -7 + 3x + 9 + -5x

Reorder the terms:
1 + 3x = -7 + 9 + 3x + -5x

Combine like terms: -7 + 9 = 2
1 + 3x = 2 + 3x + -5x

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

Solving
1 + 3x = 2 + -2x

Solving for variable 'x'.

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

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

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

Combine like terms: -2x + 2x = 0
1 + 5x = 2 + 0
1 + 5x = 2

Add '-1' to each side of the equation.
1 + -1 + 5x = 2 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = 2 + -1
5x = 2 + -1

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

Divide each side by '5'.
x = 0.2

Simplifying
x = 0.2

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