20-3(x-4)=3x+2

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Solution for 20-3(x-4)=3x+2 equation:


Simplifying
20 + -3(x + -4) = 3x + 2

Reorder the terms:
20 + -3(-4 + x) = 3x + 2
20 + (-4 * -3 + x * -3) = 3x + 2
20 + (12 + -3x) = 3x + 2

Combine like terms: 20 + 12 = 32
32 + -3x = 3x + 2

Reorder the terms:
32 + -3x = 2 + 3x

Solving
32 + -3x = 2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
32 + -3x + -3x = 2 + 3x + -3x

Combine like terms: -3x + -3x = -6x
32 + -6x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
32 + -6x = 2 + 0
32 + -6x = 2

Add '-32' to each side of the equation.
32 + -32 + -6x = 2 + -32

Combine like terms: 32 + -32 = 0
0 + -6x = 2 + -32
-6x = 2 + -32

Combine like terms: 2 + -32 = -30
-6x = -30

Divide each side by '-6'.
x = 5

Simplifying
x = 5

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