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

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


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

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

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

Reorder the terms:
12 + -4 + 4x + 2x = 20

Combine like terms: 12 + -4 = 8
8 + 4x + 2x = 20

Combine like terms: 4x + 2x = 6x
8 + 6x = 20

Solving
8 + 6x = 20

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 6x = 20 + -8

Combine like terms: 8 + -8 = 0
0 + 6x = 20 + -8
6x = 20 + -8

Combine like terms: 20 + -8 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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