8+2(5x-5)=8-4(2x+1)

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Solution for 8+2(5x-5)=8-4(2x+1) equation:


Simplifying
8 + 2(5x + -5) = 8 + -4(2x + 1)

Reorder the terms:
8 + 2(-5 + 5x) = 8 + -4(2x + 1)
8 + (-5 * 2 + 5x * 2) = 8 + -4(2x + 1)
8 + (-10 + 10x) = 8 + -4(2x + 1)

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

Reorder the terms:
-2 + 10x = 8 + -4(1 + 2x)
-2 + 10x = 8 + (1 * -4 + 2x * -4)
-2 + 10x = 8 + (-4 + -8x)

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

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

Combine like terms: 10x + 8x = 18x
-2 + 18x = 4 + -8x + 8x

Combine like terms: -8x + 8x = 0
-2 + 18x = 4 + 0
-2 + 18x = 4

Add '2' to each side of the equation.
-2 + 2 + 18x = 4 + 2

Combine like terms: -2 + 2 = 0
0 + 18x = 4 + 2
18x = 4 + 2

Combine like terms: 4 + 2 = 6
18x = 6

Divide each side by '18'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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