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

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


Simplifying
(3x + 2) + -2(4 + -1x) = 7

Reorder the terms:
(2 + 3x) + -2(4 + -1x) = 7

Remove parenthesis around (2 + 3x)
2 + 3x + -2(4 + -1x) = 7
2 + 3x + (4 * -2 + -1x * -2) = 7
2 + 3x + (-8 + 2x) = 7

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

Combine like terms: 2 + -8 = -6
-6 + 3x + 2x = 7

Combine like terms: 3x + 2x = 5x
-6 + 5x = 7

Solving
-6 + 5x = 7

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 + 5x = 7 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = 7 + 6
5x = 7 + 6

Combine like terms: 7 + 6 = 13
5x = 13

Divide each side by '5'.
x = 2.6

Simplifying
x = 2.6

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