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

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


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

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

Reorder the terms for easier multiplication:
8(3 + x) = (x + -3) * 10
(3 * 8 + x * 8) = (x + -3) * 10
(24 + 8x) = (x + -3) * 10

Reorder the terms:
24 + 8x = (-3 + x) * 10

Reorder the terms for easier multiplication:
24 + 8x = 10(-3 + x)
24 + 8x = (-3 * 10 + x * 10)
24 + 8x = (-30 + 10x)

Solving
24 + 8x = -30 + 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.
24 + 8x + -10x = -30 + 10x + -10x

Combine like terms: 8x + -10x = -2x
24 + -2x = -30 + 10x + -10x

Combine like terms: 10x + -10x = 0
24 + -2x = -30 + 0
24 + -2x = -30

Add '-24' to each side of the equation.
24 + -24 + -2x = -30 + -24

Combine like terms: 24 + -24 = 0
0 + -2x = -30 + -24
-2x = -30 + -24

Combine like terms: -30 + -24 = -54
-2x = -54

Divide each side by '-2'.
x = 27

Simplifying
x = 27

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