8+4(4x-4)=8-4(2x+1)

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Solution for 8+4(4x-4)=8-4(2x+1) equation:


Simplifying
8 + 4(4x + -4) = 8 + -4(2x + 1)

Reorder the terms:
8 + 4(-4 + 4x) = 8 + -4(2x + 1)
8 + (-4 * 4 + 4x * 4) = 8 + -4(2x + 1)
8 + (-16 + 16x) = 8 + -4(2x + 1)

Combine like terms: 8 + -16 = -8
-8 + 16x = 8 + -4(2x + 1)

Reorder the terms:
-8 + 16x = 8 + -4(1 + 2x)
-8 + 16x = 8 + (1 * -4 + 2x * -4)
-8 + 16x = 8 + (-4 + -8x)

Combine like terms: 8 + -4 = 4
-8 + 16x = 4 + -8x

Solving
-8 + 16x = 4 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-8 + 16x + 8x = 4 + -8x + 8x

Combine like terms: 16x + 8x = 24x
-8 + 24x = 4 + -8x + 8x

Combine like terms: -8x + 8x = 0
-8 + 24x = 4 + 0
-8 + 24x = 4

Add '8' to each side of the equation.
-8 + 8 + 24x = 4 + 8

Combine like terms: -8 + 8 = 0
0 + 24x = 4 + 8
24x = 4 + 8

Combine like terms: 4 + 8 = 12
24x = 12

Divide each side by '24'.
x = 0.5

Simplifying
x = 0.5

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