3(x+2)-(2x-4)=28

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Solution for 3(x+2)-(2x-4)=28 equation:


Simplifying
3(x + 2) + -1(2x + -4) = 28

Reorder the terms:
3(2 + x) + -1(2x + -4) = 28
(2 * 3 + x * 3) + -1(2x + -4) = 28
(6 + 3x) + -1(2x + -4) = 28

Reorder the terms:
6 + 3x + -1(-4 + 2x) = 28
6 + 3x + (-4 * -1 + 2x * -1) = 28
6 + 3x + (4 + -2x) = 28

Reorder the terms:
6 + 4 + 3x + -2x = 28

Combine like terms: 6 + 4 = 10
10 + 3x + -2x = 28

Combine like terms: 3x + -2x = 1x
10 + 1x = 28

Solving
10 + 1x = 28

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 = 28 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = 28 + -10
1x = 28 + -10

Combine like terms: 28 + -10 = 18
1x = 18

Divide each side by '1'.
x = 18

Simplifying
x = 18

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