7x-5y+12=22x+2(y+20)

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Solution for 7x-5y+12=22x+2(y+20) equation:


Simplifying
7x + -5y + 12 = 22x + 2(y + 20)

Reorder the terms:
12 + 7x + -5y = 22x + 2(y + 20)

Reorder the terms:
12 + 7x + -5y = 22x + 2(20 + y)
12 + 7x + -5y = 22x + (20 * 2 + y * 2)
12 + 7x + -5y = 22x + (40 + 2y)

Reorder the terms:
12 + 7x + -5y = 40 + 22x + 2y

Solving
12 + 7x + -5y = 40 + 22x + 2y

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
12 + 7x + -22x + -5y = 40 + 22x + -22x + 2y

Combine like terms: 7x + -22x = -15x
12 + -15x + -5y = 40 + 22x + -22x + 2y

Combine like terms: 22x + -22x = 0
12 + -15x + -5y = 40 + 0 + 2y
12 + -15x + -5y = 40 + 2y

Add '-12' to each side of the equation.
12 + -15x + -12 + -5y = 40 + -12 + 2y

Reorder the terms:
12 + -12 + -15x + -5y = 40 + -12 + 2y

Combine like terms: 12 + -12 = 0
0 + -15x + -5y = 40 + -12 + 2y
-15x + -5y = 40 + -12 + 2y

Combine like terms: 40 + -12 = 28
-15x + -5y = 28 + 2y

Add '5y' to each side of the equation.
-15x + -5y + 5y = 28 + 2y + 5y

Combine like terms: -5y + 5y = 0
-15x + 0 = 28 + 2y + 5y
-15x = 28 + 2y + 5y

Combine like terms: 2y + 5y = 7y
-15x = 28 + 7y

Divide each side by '-15'.
x = -1.866666667 + -0.4666666667y

Simplifying
x = -1.866666667 + -0.4666666667y

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