4(x+2)-(x-4)=32

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Solution for 4(x+2)-(x-4)=32 equation:


Simplifying
4(x + 2) + -1(x + -4) = 32

Reorder the terms:
4(2 + x) + -1(x + -4) = 32
(2 * 4 + x * 4) + -1(x + -4) = 32
(8 + 4x) + -1(x + -4) = 32

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

Reorder the terms:
8 + 4 + 4x + -1x = 32

Combine like terms: 8 + 4 = 12
12 + 4x + -1x = 32

Combine like terms: 4x + -1x = 3x
12 + 3x = 32

Solving
12 + 3x = 32

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 3x = 32 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = 32 + -12
3x = 32 + -12

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

Divide each side by '3'.
x = 6.666666667

Simplifying
x = 6.666666667

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