(10x+6)-6(x-2)=32

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Solution for (10x+6)-6(x-2)=32 equation:


Simplifying
(10x + 6) + -6(x + -2) = 32

Reorder the terms:
(6 + 10x) + -6(x + -2) = 32

Remove parenthesis around (6 + 10x)
6 + 10x + -6(x + -2) = 32

Reorder the terms:
6 + 10x + -6(-2 + x) = 32
6 + 10x + (-2 * -6 + x * -6) = 32
6 + 10x + (12 + -6x) = 32

Reorder the terms:
6 + 12 + 10x + -6x = 32

Combine like terms: 6 + 12 = 18
18 + 10x + -6x = 32

Combine like terms: 10x + -6x = 4x
18 + 4x = 32

Solving
18 + 4x = 32

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 + 4x = 32 + -18

Combine like terms: 18 + -18 = 0
0 + 4x = 32 + -18
4x = 32 + -18

Combine like terms: 32 + -18 = 14
4x = 14

Divide each side by '4'.
x = 3.5

Simplifying
x = 3.5

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