(x+3+8)8=(x-3+10)10

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Solution for (x+3+8)8=(x-3+10)10 equation: 


Simplifying
(x + 3 + 8) * 8 = (x + -3 + 10) * 10

Reorder the terms:
(3 + 8 + x) * 8 = (x + -3 + 10) * 10

Combine like terms: 3 + 8 = 11
(11 + x) * 8 = (x + -3 + 10) * 10

Reorder the terms for easier multiplication:
8(11 + x) = (x + -3 + 10) * 10
(11 * 8 + x * 8) = (x + -3 + 10) * 10
(88 + 8x) = (x + -3 + 10) * 10

Reorder the terms:
88 + 8x = (-3 + 10 + x) * 10

Combine like terms: -3 + 10 = 7
88 + 8x = (7 + x) * 10

Reorder the terms for easier multiplication:
88 + 8x = 10(7 + x)
88 + 8x = (7 * 10 + x * 10)
88 + 8x = (70 + 10x)

Solving
88 + 8x = 70 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
88 + 8x + -10x = 70 + 10x + -10x

Combine like terms: 8x + -10x = -2x
88 + -2x = 70 + 10x + -10x

Combine like terms: 10x + -10x = 0
88 + -2x = 70 + 0
88 + -2x = 70

Add '-88' to each side of the equation.
88 + -88 + -2x = 70 + -88

Combine like terms: 88 + -88 = 0
0 + -2x = 70 + -88
-2x = 70 + -88

Combine like terms: 70 + -88 = -18
-2x = -18

Divide each side by '-2'.
x = 9

Simplifying
x = 9

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