65=32+6(x-2)

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Solution for 65=32+6(x-2) equation:


Simplifying
65 = 32 + 6(x + -2)

Reorder the terms:
65 = 32 + 6(-2 + x)
65 = 32 + (-2 * 6 + x * 6)
65 = 32 + (-12 + 6x)

Combine like terms: 32 + -12 = 20
65 = 20 + 6x

Solving
65 = 20 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
65 + -6x = 20 + 6x + -6x

Combine like terms: 6x + -6x = 0
65 + -6x = 20 + 0
65 + -6x = 20

Add '-65' to each side of the equation.
65 + -65 + -6x = 20 + -65

Combine like terms: 65 + -65 = 0
0 + -6x = 20 + -65
-6x = 20 + -65

Combine like terms: 20 + -65 = -45
-6x = -45

Divide each side by '-6'.
x = 7.5

Simplifying
x = 7.5

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