-4(x-8)+4(x+2)=x+3

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Solution for -4(x-8)+4(x+2)=x+3 equation: 


Simplifying
-4(x + -8) + 4(x + 2) = x + 3

Reorder the terms:
-4(-8 + x) + 4(x + 2) = x + 3
(-8 * -4 + x * -4) + 4(x + 2) = x + 3
(32 + -4x) + 4(x + 2) = x + 3

Reorder the terms:
32 + -4x + 4(2 + x) = x + 3
32 + -4x + (2 * 4 + x * 4) = x + 3
32 + -4x + (8 + 4x) = x + 3

Reorder the terms:
32 + 8 + -4x + 4x = x + 3

Combine like terms: 32 + 8 = 40
40 + -4x + 4x = x + 3

Combine like terms: -4x + 4x = 0
40 + 0 = x + 3
40 = x + 3

Reorder the terms:
40 = 3 + x

Solving
40 = 3 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
40 + -1x = 3 + x + -1x

Combine like terms: x + -1x = 0
40 + -1x = 3 + 0
40 + -1x = 3

Add '-40' to each side of the equation.
40 + -40 + -1x = 3 + -40

Combine like terms: 40 + -40 = 0
0 + -1x = 3 + -40
-1x = 3 + -40

Combine like terms: 3 + -40 = -37
-1x = -37

Divide each side by '-1'.
x = 37

Simplifying
x = 37

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