8+3(x+4)=32-x

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Solution for 8+3(x+4)=32-x equation:


Simplifying
8 + 3(x + 4) = 32 + -1x

Reorder the terms:
8 + 3(4 + x) = 32 + -1x
8 + (4 * 3 + x * 3) = 32 + -1x
8 + (12 + 3x) = 32 + -1x

Combine like terms: 8 + 12 = 20
20 + 3x = 32 + -1x

Solving
20 + 3x = 32 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
20 + 3x + x = 32 + -1x + x

Combine like terms: 3x + x = 4x
20 + 4x = 32 + -1x + x

Combine like terms: -1x + x = 0
20 + 4x = 32 + 0
20 + 4x = 32

Add '-20' to each side of the equation.
20 + -20 + 4x = 32 + -20

Combine like terms: 20 + -20 = 0
0 + 4x = 32 + -20
4x = 32 + -20

Combine like terms: 32 + -20 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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