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

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


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

Combine like terms: 3x + 4x = 7x
2(7x) + -2(x + -2) = 28

Remove parenthesis around (7x)
2 * 7x + -2(x + -2) = 28

Multiply 2 * 7
14x + -2(x + -2) = 28

Reorder the terms:
14x + -2(-2 + x) = 28
14x + (-2 * -2 + x * -2) = 28
14x + (4 + -2x) = 28

Reorder the terms:
4 + 14x + -2x = 28

Combine like terms: 14x + -2x = 12x
4 + 12x = 28

Solving
4 + 12x = 28

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + 12x = 28 + -4

Combine like terms: 4 + -4 = 0
0 + 12x = 28 + -4
12x = 28 + -4

Combine like terms: 28 + -4 = 24
12x = 24

Divide each side by '12'.
x = 2

Simplifying
x = 2

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