8+2(x-5)=2-8(x-9)

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Solution for 8+2(x-5)=2-8(x-9) equation:


Simplifying
8 + 2(x + -5) = 2 + -8(x + -9)

Reorder the terms:
8 + 2(-5 + x) = 2 + -8(x + -9)
8 + (-5 * 2 + x * 2) = 2 + -8(x + -9)
8 + (-10 + 2x) = 2 + -8(x + -9)

Combine like terms: 8 + -10 = -2
-2 + 2x = 2 + -8(x + -9)

Reorder the terms:
-2 + 2x = 2 + -8(-9 + x)
-2 + 2x = 2 + (-9 * -8 + x * -8)
-2 + 2x = 2 + (72 + -8x)

Combine like terms: 2 + 72 = 74
-2 + 2x = 74 + -8x

Solving
-2 + 2x = 74 + -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 + 2x + 8x = 74 + -8x + 8x

Combine like terms: 2x + 8x = 10x
-2 + 10x = 74 + -8x + 8x

Combine like terms: -8x + 8x = 0
-2 + 10x = 74 + 0
-2 + 10x = 74

Add '2' to each side of the equation.
-2 + 2 + 10x = 74 + 2

Combine like terms: -2 + 2 = 0
0 + 10x = 74 + 2
10x = 74 + 2

Combine like terms: 74 + 2 = 76
10x = 76

Divide each side by '10'.
x = 7.6

Simplifying
x = 7.6

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