3(x+2)-(x-4)=6

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Solution for 3(x+2)-(x-4)=6 equation:


Simplifying
3(x + 2) + -1(x + -4) = 6

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

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

Reorder the terms:
6 + 4 + 3x + -1x = 6

Combine like terms: 6 + 4 = 10
10 + 3x + -1x = 6

Combine like terms: 3x + -1x = 2x
10 + 2x = 6

Solving
10 + 2x = 6

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 + 2x = 6 + -10

Combine like terms: 10 + -10 = 0
0 + 2x = 6 + -10
2x = 6 + -10

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

Divide each side by '2'.
x = -2

Simplifying
x = -2

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