((4x-10)+(3x+8)).5=13

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Solution for ((4x-10)+(3x+8)).5=13 equation: 


Simplifying
((4x + -10) + (3x + 8)) * 0.5 = 13

Reorder the terms:
((-10 + 4x) + (3x + 8)) * 0.5 = 13

Remove parenthesis around (-10 + 4x)
(-10 + 4x + (3x + 8)) * 0.5 = 13

Reorder the terms:
(-10 + 4x + (8 + 3x)) * 0.5 = 13

Remove parenthesis around (8 + 3x)
(-10 + 4x + 8 + 3x) * 0.5 = 13

Reorder the terms:
(-10 + 8 + 4x + 3x) * 0.5 = 13

Combine like terms: -10 + 8 = -2
(-2 + 4x + 3x) * 0.5 = 13

Combine like terms: 4x + 3x = 7x
(-2 + 7x) * 0.5 = 13

Reorder the terms for easier multiplication:
0.5(-2 + 7x) = 13
(-2 * 0.5 + 7x * 0.5) = 13
(-1 + 3.5x) = 13

Solving
-1 + 3.5x = 13

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 3.5x = 13 + 1

Combine like terms: -1 + 1 = 0
0 + 3.5x = 13 + 1
3.5x = 13 + 1

Combine like terms: 13 + 1 = 14
3.5x = 14

Divide each side by '3.5'.
x = 4

Simplifying
x = 4

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