4x+2y+5=x+13

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Solution for 4x+2y+5=x+13 equation:


Simplifying
4x + 2y + 5 = x + 13

Reorder the terms:
5 + 4x + 2y = x + 13

Reorder the terms:
5 + 4x + 2y = 13 + x

Solving
5 + 4x + 2y = 13 + 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.
5 + 4x + -1x + 2y = 13 + x + -1x

Combine like terms: 4x + -1x = 3x
5 + 3x + 2y = 13 + x + -1x

Combine like terms: x + -1x = 0
5 + 3x + 2y = 13 + 0
5 + 3x + 2y = 13

Add '-5' to each side of the equation.
5 + 3x + -5 + 2y = 13 + -5

Reorder the terms:
5 + -5 + 3x + 2y = 13 + -5

Combine like terms: 5 + -5 = 0
0 + 3x + 2y = 13 + -5
3x + 2y = 13 + -5

Combine like terms: 13 + -5 = 8
3x + 2y = 8

Add '-2y' to each side of the equation.
3x + 2y + -2y = 8 + -2y

Combine like terms: 2y + -2y = 0
3x + 0 = 8 + -2y
3x = 8 + -2y

Divide each side by '3'.
x = 2.666666667 + -0.6666666667y

Simplifying
x = 2.666666667 + -0.6666666667y

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