-8(x-4)-(1+3x)=20

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Solution for -8(x-4)-(1+3x)=20 equation:


Simplifying
-8(x + -4) + -1(1 + 3x) = 20

Reorder the terms:
-8(-4 + x) + -1(1 + 3x) = 20
(-4 * -8 + x * -8) + -1(1 + 3x) = 20
(32 + -8x) + -1(1 + 3x) = 20
32 + -8x + (1 * -1 + 3x * -1) = 20
32 + -8x + (-1 + -3x) = 20

Reorder the terms:
32 + -1 + -8x + -3x = 20

Combine like terms: 32 + -1 = 31
31 + -8x + -3x = 20

Combine like terms: -8x + -3x = -11x
31 + -11x = 20

Solving
31 + -11x = 20

Solving for variable 'x'.

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

Add '-31' to each side of the equation.
31 + -31 + -11x = 20 + -31

Combine like terms: 31 + -31 = 0
0 + -11x = 20 + -31
-11x = 20 + -31

Combine like terms: 20 + -31 = -11
-11x = -11

Divide each side by '-11'.
x = 1

Simplifying
x = 1

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