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

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


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

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

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

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

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

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

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

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

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

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

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

Divide each side by '1'.
x = -5

Simplifying
x = -5

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