2(-5+2y)-4(-2+2x)=-10

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Solution for 2(-5+2y)-4(-2+2x)=-10 equation: 


Simplifying
2(-5 + 2y) + -4(-2 + 2x) = -10
(-5 * 2 + 2y * 2) + -4(-2 + 2x) = -10
(-10 + 4y) + -4(-2 + 2x) = -10
-10 + 4y + (-2 * -4 + 2x * -4) = -10
-10 + 4y + (8 + -8x) = -10

Reorder the terms:
-10 + 8 + -8x + 4y = -10

Combine like terms: -10 + 8 = -2
-2 + -8x + 4y = -10

Solving
-2 + -8x + 4y = -10

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + -8x + 2 + 4y = -10 + 2

Reorder the terms:
-2 + 2 + -8x + 4y = -10 + 2

Combine like terms: -2 + 2 = 0
0 + -8x + 4y = -10 + 2
-8x + 4y = -10 + 2

Combine like terms: -10 + 2 = -8
-8x + 4y = -8

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

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

Divide each side by '-8'.
x = 1 + 0.5y

Simplifying
x = 1 + 0.5y

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