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

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


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

Reorder the terms:
2(4 + 3x) + (4x + -2) = 20
(4 * 2 + 3x * 2) + (4x + -2) = 20
(8 + 6x) + (4x + -2) = 20

Reorder the terms:
8 + 6x + (-2 + 4x) = 20

Remove parenthesis around (-2 + 4x)
8 + 6x + -2 + 4x = 20

Reorder the terms:
8 + -2 + 6x + 4x = 20

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

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

Solving
6 + 10x = 20

Solving for variable 'x'.

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

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

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

Combine like terms: 20 + -6 = 14
10x = 14

Divide each side by '10'.
x = 1.4

Simplifying
x = 1.4

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