4(x-20)+2(x+6)=-83

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Solution for 4(x-20)+2(x+6)=-83 equation: 


Simplifying
4(x + -20) + 2(x + 6) = -83

Reorder the terms:
4(-20 + x) + 2(x + 6) = -83
(-20 * 4 + x * 4) + 2(x + 6) = -83
(-80 + 4x) + 2(x + 6) = -83

Reorder the terms:
-80 + 4x + 2(6 + x) = -83
-80 + 4x + (6 * 2 + x * 2) = -83
-80 + 4x + (12 + 2x) = -83

Reorder the terms:
-80 + 12 + 4x + 2x = -83

Combine like terms: -80 + 12 = -68
-68 + 4x + 2x = -83

Combine like terms: 4x + 2x = 6x
-68 + 6x = -83

Solving
-68 + 6x = -83

Solving for variable 'x'.

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

Add '68' to each side of the equation.
-68 + 68 + 6x = -83 + 68

Combine like terms: -68 + 68 = 0
0 + 6x = -83 + 68
6x = -83 + 68

Combine like terms: -83 + 68 = -15
6x = -15

Divide each side by '6'.
x = -2.5

Simplifying
x = -2.5

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