4(x+2)+3y=3(y-2)+2

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


Simplifying
4(x + 2) + 3y = 3(y + -2) + 2

Reorder the terms:
4(2 + x) + 3y = 3(y + -2) + 2
(2 * 4 + x * 4) + 3y = 3(y + -2) + 2
(8 + 4x) + 3y = 3(y + -2) + 2

Reorder the terms:
8 + 4x + 3y = 3(-2 + y) + 2
8 + 4x + 3y = (-2 * 3 + y * 3) + 2
8 + 4x + 3y = (-6 + 3y) + 2

Reorder the terms:
8 + 4x + 3y = -6 + 2 + 3y

Combine like terms: -6 + 2 = -4
8 + 4x + 3y = -4 + 3y

Add '-3y' to each side of the equation.
8 + 4x + 3y + -3y = -4 + 3y + -3y

Combine like terms: 3y + -3y = 0
8 + 4x + 0 = -4 + 3y + -3y
8 + 4x = -4 + 3y + -3y

Combine like terms: 3y + -3y = 0
8 + 4x = -4 + 0
8 + 4x = -4

Solving
8 + 4x = -4

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 4x = -4 + -8

Combine like terms: 8 + -8 = 0
0 + 4x = -4 + -8
4x = -4 + -8

Combine like terms: -4 + -8 = -12
4x = -12

Divide each side by '4'.
x = -3

Simplifying
x = -3

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