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

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


Simplifying
2(x + y) + 1 = x + -4
(x * 2 + y * 2) + 1 = x + -4
(2x + 2y) + 1 = x + -4

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

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

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

Solving for variable 'x'.

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

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

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

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

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

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

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

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

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

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

Divide each side by '1'.
x = -5 + -2y

Simplifying
x = -5 + -2y

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