4(x-2)-2=2(y+1)-5

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Solution for 4(x-2)-2=2(y+1)-5 equation: 


Simplifying
4(x + -2) + -2 = 2(y + 1) + -5

Reorder the terms:
4(-2 + x) + -2 = 2(y + 1) + -5
(-2 * 4 + x * 4) + -2 = 2(y + 1) + -5
(-8 + 4x) + -2 = 2(y + 1) + -5

Reorder the terms:
-8 + -2 + 4x = 2(y + 1) + -5

Combine like terms: -8 + -2 = -10
-10 + 4x = 2(y + 1) + -5

Reorder the terms:
-10 + 4x = 2(1 + y) + -5
-10 + 4x = (1 * 2 + y * 2) + -5
-10 + 4x = (2 + 2y) + -5

Reorder the terms:
-10 + 4x = 2 + -5 + 2y

Combine like terms: 2 + -5 = -3
-10 + 4x = -3 + 2y

Solving
-10 + 4x = -3 + 2y

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 4x = -3 + 10 + 2y

Combine like terms: -10 + 10 = 0
0 + 4x = -3 + 10 + 2y
4x = -3 + 10 + 2y

Combine like terms: -3 + 10 = 7
4x = 7 + 2y

Divide each side by '4'.
x = 1.75 + 0.5y

Simplifying
x = 1.75 + 0.5y

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