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

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


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

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

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

Remove parenthesis around (-1 + 2x)
1 + 4x + -1y = -1 + 2x + (3y + 5)

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

Remove parenthesis around (5 + 3y)
1 + 4x + -1y = -1 + 2x + 5 + 3y

Reorder the terms:
1 + 4x + -1y = -1 + 5 + 2x + 3y

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

Solving
1 + 4x + -1y = 4 + 2x + 3y

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 + 4x + -2x + -1y = 4 + 2x + -2x + 3y

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

Combine like terms: 2x + -2x = 0
1 + 2x + -1y = 4 + 0 + 3y
1 + 2x + -1y = 4 + 3y

Add '-1' to each side of the equation.
1 + 2x + -1 + -1y = 4 + -1 + 3y

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

Combine like terms: 1 + -1 = 0
0 + 2x + -1y = 4 + -1 + 3y
2x + -1y = 4 + -1 + 3y

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

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

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

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

Divide each side by '2'.
x = 1.5 + 2y

Simplifying
x = 1.5 + 2y

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