4x-(2x+3)=6x+(3-6x)+(-x+4)

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Solution for 4x-(2x+3)=6x+(3-6x)+(-x+4) equation:


Simplifying
4x + -1(2x + 3) = 6x + (3 + -6x) + (-1x + 4)

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

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

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

Remove parenthesis around (3 + -6x)
-3 + 2x = 6x + 3 + -6x + (-1x + 4)

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

Remove parenthesis around (4 + -1x)
-3 + 2x = 6x + 3 + -6x + 4 + -1x

Reorder the terms:
-3 + 2x = 3 + 4 + 6x + -6x + -1x

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

Combine like terms: 6x + -6x = 0
-3 + 2x = 7 + 0 + -1x
-3 + 2x = 7 + -1x

Solving
-3 + 2x = 7 + -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 + 2x + x = 7 + -1x + x

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

Combine like terms: -1x + x = 0
-3 + 3x = 7 + 0
-3 + 3x = 7

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

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

Combine like terms: 7 + 3 = 10
3x = 10

Divide each side by '3'.
x = 3.333333333

Simplifying
x = 3.333333333

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