3(2x+4)-2(x+2)=18

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Solution for 3(2x+4)-2(x+2)=18 equation:


Simplifying
3(2x + 4) + -2(x + 2) = 18

Reorder the terms:
3(4 + 2x) + -2(x + 2) = 18
(4 * 3 + 2x * 3) + -2(x + 2) = 18
(12 + 6x) + -2(x + 2) = 18

Reorder the terms:
12 + 6x + -2(2 + x) = 18
12 + 6x + (2 * -2 + x * -2) = 18
12 + 6x + (-4 + -2x) = 18

Reorder the terms:
12 + -4 + 6x + -2x = 18

Combine like terms: 12 + -4 = 8
8 + 6x + -2x = 18

Combine like terms: 6x + -2x = 4x
8 + 4x = 18

Solving
8 + 4x = 18

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 4x = 18 + -8

Combine like terms: 8 + -8 = 0
0 + 4x = 18 + -8
4x = 18 + -8

Combine like terms: 18 + -8 = 10
4x = 10

Divide each side by '4'.
x = 2.5

Simplifying
x = 2.5

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