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

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


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

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

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

Solving
3 + -1x + 4y = -7 + 2x

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.
3 + -1x + -2x + 4y = -7 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
3 + -3x + 4y = -7 + 0
3 + -3x + 4y = -7

Add '-3' to each side of the equation.
3 + -3x + -3 + 4y = -7 + -3

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

Combine like terms: 3 + -3 = 0
0 + -3x + 4y = -7 + -3
-3x + 4y = -7 + -3

Combine like terms: -7 + -3 = -10
-3x + 4y = -10

Add '-4y' to each side of the equation.
-3x + 4y + -4y = -10 + -4y

Combine like terms: 4y + -4y = 0
-3x + 0 = -10 + -4y
-3x = -10 + -4y

Divide each side by '-3'.
x = 3.333333333 + 1.333333333y

Simplifying
x = 3.333333333 + 1.333333333y

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