83-2(x+6)=x+74

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Solution for 83-2(x+6)=x+74 equation:


Simplifying
83 + -2(x + 6) = x + 74

Reorder the terms:
83 + -2(6 + x) = x + 74
83 + (6 * -2 + x * -2) = x + 74
83 + (-12 + -2x) = x + 74

Combine like terms: 83 + -12 = 71
71 + -2x = x + 74

Reorder the terms:
71 + -2x = 74 + x

Solving
71 + -2x = 74 + 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.
71 + -2x + -1x = 74 + x + -1x

Combine like terms: -2x + -1x = -3x
71 + -3x = 74 + x + -1x

Combine like terms: x + -1x = 0
71 + -3x = 74 + 0
71 + -3x = 74

Add '-71' to each side of the equation.
71 + -71 + -3x = 74 + -71

Combine like terms: 71 + -71 = 0
0 + -3x = 74 + -71
-3x = 74 + -71

Combine like terms: 74 + -71 = 3
-3x = 3

Divide each side by '-3'.
x = -1

Simplifying
x = -1

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