10(1+x)+(4x-14)+22=82

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Solution for 10(1+x)+(4x-14)+22=82 equation:


Simplifying
10(1 + x) + (4x + -14) + 22 = 82
(1 * 10 + x * 10) + (4x + -14) + 22 = 82
(10 + 10x) + (4x + -14) + 22 = 82

Reorder the terms:
10 + 10x + (-14 + 4x) + 22 = 82

Remove parenthesis around (-14 + 4x)
10 + 10x + -14 + 4x + 22 = 82

Reorder the terms:
10 + -14 + 22 + 10x + 4x = 82

Combine like terms: 10 + -14 = -4
-4 + 22 + 10x + 4x = 82

Combine like terms: -4 + 22 = 18
18 + 10x + 4x = 82

Combine like terms: 10x + 4x = 14x
18 + 14x = 82

Solving
18 + 14x = 82

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + 14x = 82 + -18

Combine like terms: 18 + -18 = 0
0 + 14x = 82 + -18
14x = 82 + -18

Combine like terms: 82 + -18 = 64
14x = 64

Divide each side by '14'.
x = 4.571428571

Simplifying
x = 4.571428571

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