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

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


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

Reorder the terms:
8 + -3(4 + x) = x + -20
8 + (4 * -3 + x * -3) = x + -20
8 + (-12 + -3x) = x + -20

Combine like terms: 8 + -12 = -4
-4 + -3x = x + -20

Reorder the terms:
-4 + -3x = -20 + x

Solving
-4 + -3x = -20 + 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.
-4 + -3x + -1x = -20 + x + -1x

Combine like terms: -3x + -1x = -4x
-4 + -4x = -20 + x + -1x

Combine like terms: x + -1x = 0
-4 + -4x = -20 + 0
-4 + -4x = -20

Add '4' to each side of the equation.
-4 + 4 + -4x = -20 + 4

Combine like terms: -4 + 4 = 0
0 + -4x = -20 + 4
-4x = -20 + 4

Combine like terms: -20 + 4 = -16
-4x = -16

Divide each side by '-4'.
x = 4

Simplifying
x = 4

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