(3x-2)-2(x+4)=7

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Solution for (3x-2)-2(x+4)=7 equation:


Simplifying
(3x + -2) + -2(x + 4) = 7

Reorder the terms:
(-2 + 3x) + -2(x + 4) = 7

Remove parenthesis around (-2 + 3x)
-2 + 3x + -2(x + 4) = 7

Reorder the terms:
-2 + 3x + -2(4 + x) = 7
-2 + 3x + (4 * -2 + x * -2) = 7
-2 + 3x + (-8 + -2x) = 7

Reorder the terms:
-2 + -8 + 3x + -2x = 7

Combine like terms: -2 + -8 = -10
-10 + 3x + -2x = 7

Combine like terms: 3x + -2x = 1x
-10 + 1x = 7

Solving
-10 + 1x = 7

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 + 1x = 7 + 10

Combine like terms: -10 + 10 = 0
0 + 1x = 7 + 10
1x = 7 + 10

Combine like terms: 7 + 10 = 17
1x = 17

Divide each side by '1'.
x = 17

Simplifying
x = 17

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