4x-(2x+3)-(3x-5)=49-(6x-1)+(1+2x)

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Solution for 4x-(2x+3)-(3x-5)=49-(6x-1)+(1+2x) equation: 


Simplifying
4x + -1(2x + 3) + -1(3x + -5) = 49 + -1(6x + -1) + (1 + 2x)

Reorder the terms:
4x + -1(3 + 2x) + -1(3x + -5) = 49 + -1(6x + -1) + (1 + 2x)
4x + (3 * -1 + 2x * -1) + -1(3x + -5) = 49 + -1(6x + -1) + (1 + 2x)
4x + (-3 + -2x) + -1(3x + -5) = 49 + -1(6x + -1) + (1 + 2x)

Reorder the terms:
4x + -3 + -2x + -1(-5 + 3x) = 49 + -1(6x + -1) + (1 + 2x)
4x + -3 + -2x + (-5 * -1 + 3x * -1) = 49 + -1(6x + -1) + (1 + 2x)
4x + -3 + -2x + (5 + -3x) = 49 + -1(6x + -1) + (1 + 2x)

Reorder the terms:
-3 + 5 + 4x + -2x + -3x = 49 + -1(6x + -1) + (1 + 2x)

Combine like terms: -3 + 5 = 2
2 + 4x + -2x + -3x = 49 + -1(6x + -1) + (1 + 2x)

Combine like terms: 4x + -2x = 2x
2 + 2x + -3x = 49 + -1(6x + -1) + (1 + 2x)

Combine like terms: 2x + -3x = -1x
2 + -1x = 49 + -1(6x + -1) + (1 + 2x)

Reorder the terms:
2 + -1x = 49 + -1(-1 + 6x) + (1 + 2x)
2 + -1x = 49 + (-1 * -1 + 6x * -1) + (1 + 2x)
2 + -1x = 49 + (1 + -6x) + (1 + 2x)

Remove parenthesis around (1 + 2x)
2 + -1x = 49 + 1 + -6x + 1 + 2x

Reorder the terms:
2 + -1x = 49 + 1 + 1 + -6x + 2x

Combine like terms: 49 + 1 = 50
2 + -1x = 50 + 1 + -6x + 2x

Combine like terms: 50 + 1 = 51
2 + -1x = 51 + -6x + 2x

Combine like terms: -6x + 2x = -4x
2 + -1x = 51 + -4x

Solving
2 + -1x = 51 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
2 + -1x + 4x = 51 + -4x + 4x

Combine like terms: -1x + 4x = 3x
2 + 3x = 51 + -4x + 4x

Combine like terms: -4x + 4x = 0
2 + 3x = 51 + 0
2 + 3x = 51

Add '-2' to each side of the equation.
2 + -2 + 3x = 51 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 51 + -2
3x = 51 + -2

Combine like terms: 51 + -2 = 49
3x = 49

Divide each side by '3'.
x = 16.33333333

Simplifying
x = 16.33333333

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