4x-y+2x+3y+7=14

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Solution for 4x-y+2x+3y+7=14 equation:


Simplifying
4x + -1y + 2x + 3y + 7 = 14

Reorder the terms:
7 + 4x + 2x + -1y + 3y = 14

Combine like terms: 4x + 2x = 6x
7 + 6x + -1y + 3y = 14

Combine like terms: -1y + 3y = 2y
7 + 6x + 2y = 14

Solving
7 + 6x + 2y = 14

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + 6x + -7 + 2y = 14 + -7

Reorder the terms:
7 + -7 + 6x + 2y = 14 + -7

Combine like terms: 7 + -7 = 0
0 + 6x + 2y = 14 + -7
6x + 2y = 14 + -7

Combine like terms: 14 + -7 = 7
6x + 2y = 7

Add '-2y' to each side of the equation.
6x + 2y + -2y = 7 + -2y

Combine like terms: 2y + -2y = 0
6x + 0 = 7 + -2y
6x = 7 + -2y

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

Simplifying
x = 1.166666667 + -0.3333333333y

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