65+14(x-2)=x-28

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Solution for 65+14(x-2)=x-28 equation:


Simplifying
65 + 14(x + -2) = x + -28

Reorder the terms:
65 + 14(-2 + x) = x + -28
65 + (-2 * 14 + x * 14) = x + -28
65 + (-28 + 14x) = x + -28

Combine like terms: 65 + -28 = 37
37 + 14x = x + -28

Reorder the terms:
37 + 14x = -28 + x

Solving
37 + 14x = -28 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
37 + 14x + -1x = -28 + x + -1x

Combine like terms: 14x + -1x = 13x
37 + 13x = -28 + x + -1x

Combine like terms: x + -1x = 0
37 + 13x = -28 + 0
37 + 13x = -28

Add '-37' to each side of the equation.
37 + -37 + 13x = -28 + -37

Combine like terms: 37 + -37 = 0
0 + 13x = -28 + -37
13x = -28 + -37

Combine like terms: -28 + -37 = -65
13x = -65

Divide each side by '13'.
x = -5

Simplifying
x = -5

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