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

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


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

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

Reorder the terms:
-12 + 2 + 2x + 3x = 20

Combine like terms: -12 + 2 = -10
-10 + 2x + 3x = 20

Combine like terms: 2x + 3x = 5x
-10 + 5x = 20

Solving
-10 + 5x = 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 + 5x = 20 + 10

Combine like terms: -10 + 10 = 0
0 + 5x = 20 + 10
5x = 20 + 10

Combine like terms: 20 + 10 = 30
5x = 30

Divide each side by '5'.
x = 6

Simplifying
x = 6

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