2(3x+4)-(3x-2)=.8

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Solution for 2(3x+4)-(3x-2)=.8 equation:


Simplifying
2(3x + 4) + -1(3x + -2) = 0.8

Reorder the terms:
2(4 + 3x) + -1(3x + -2) = 0.8
(4 * 2 + 3x * 2) + -1(3x + -2) = 0.8
(8 + 6x) + -1(3x + -2) = 0.8

Reorder the terms:
8 + 6x + -1(-2 + 3x) = 0.8
8 + 6x + (-2 * -1 + 3x * -1) = 0.8
8 + 6x + (2 + -3x) = 0.8

Reorder the terms:
8 + 2 + 6x + -3x = 0.8

Combine like terms: 8 + 2 = 10
10 + 6x + -3x = 0.8

Combine like terms: 6x + -3x = 3x
10 + 3x = 0.8

Solving
10 + 3x = 0.8

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 + 3x = 0.8 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = 0.8 + -10
3x = 0.8 + -10

Combine like terms: 0.8 + -10 = -9.2
3x = -9.2

Divide each side by '3'.
x = -3.066666667

Simplifying
x = -3.066666667

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