4x-2y+7=8x+y-12

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Solution for 4x-2y+7=8x+y-12 equation:


Simplifying
4x + -2y + 7 = 8x + y + -12

Reorder the terms:
7 + 4x + -2y = 8x + y + -12

Reorder the terms:
7 + 4x + -2y = -12 + 8x + y

Solving
7 + 4x + -2y = -12 + 8x + y

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
7 + 4x + -8x + -2y = -12 + 8x + -8x + y

Combine like terms: 4x + -8x = -4x
7 + -4x + -2y = -12 + 8x + -8x + y

Combine like terms: 8x + -8x = 0
7 + -4x + -2y = -12 + 0 + y
7 + -4x + -2y = -12 + y

Add '-7' to each side of the equation.
7 + -4x + -7 + -2y = -12 + -7 + y

Reorder the terms:
7 + -7 + -4x + -2y = -12 + -7 + y

Combine like terms: 7 + -7 = 0
0 + -4x + -2y = -12 + -7 + y
-4x + -2y = -12 + -7 + y

Combine like terms: -12 + -7 = -19
-4x + -2y = -19 + y

Add '2y' to each side of the equation.
-4x + -2y + 2y = -19 + y + 2y

Combine like terms: -2y + 2y = 0
-4x + 0 = -19 + y + 2y
-4x = -19 + y + 2y

Combine like terms: y + 2y = 3y
-4x = -19 + 3y

Divide each side by '-4'.
x = 4.75 + -0.75y

Simplifying
x = 4.75 + -0.75y

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