4(x-3)+2(x+1)=20

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Solution for 4(x-3)+2(x+1)=20 equation: 


Simplifying
4(x + -3) + 2(x + 1) = 20

Reorder the terms:
4(-3 + x) + 2(x + 1) = 20
(-3 * 4 + x * 4) + 2(x + 1) = 20
(-12 + 4x) + 2(x + 1) = 20

Reorder the terms:
-12 + 4x + 2(1 + x) = 20
-12 + 4x + (1 * 2 + x * 2) = 20
-12 + 4x + (2 + 2x) = 20

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

Combine like terms: -12 + 2 = -10
-10 + 4x + 2x = 20

Combine like terms: 4x + 2x = 6x
-10 + 6x = 20

Solving
-10 + 6x = 20

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 6x = 20 + 10

Combine like terms: -10 + 10 = 0
0 + 6x = 20 + 10
6x = 20 + 10

Combine like terms: 20 + 10 = 30
6x = 30

Divide each side by '6'.
x = 5

Simplifying
x = 5

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