2x+1=-4x+2y+8

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Solution for 2x+1=-4x+2y+8 equation:


Simplifying
2x + 1 = -4x + 2y + 8

Reorder the terms:
1 + 2x = -4x + 2y + 8

Reorder the terms:
1 + 2x = 8 + -4x + 2y

Solving
1 + 2x = 8 + -4x + 2y

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.
1 + 2x + 4x = 8 + -4x + 4x + 2y

Combine like terms: 2x + 4x = 6x
1 + 6x = 8 + -4x + 4x + 2y

Combine like terms: -4x + 4x = 0
1 + 6x = 8 + 0 + 2y
1 + 6x = 8 + 2y

Add '-1' to each side of the equation.
1 + -1 + 6x = 8 + -1 + 2y

Combine like terms: 1 + -1 = 0
0 + 6x = 8 + -1 + 2y
6x = 8 + -1 + 2y

Combine like terms: 8 + -1 = 7
6x = 7 + 2y

Divide each side by '6'.
x = 1.166666667 + 0.3333333333y

Simplifying
x = 1.166666667 + 0.3333333333y

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