(4x+8)-(x+2)=18

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Solution for (4x+8)-(x+2)=18 equation:


Simplifying
(4x + 8) + -1(x + 2) = 18

Reorder the terms:
(8 + 4x) + -1(x + 2) = 18

Remove parenthesis around (8 + 4x)
8 + 4x + -1(x + 2) = 18

Reorder the terms:
8 + 4x + -1(2 + x) = 18
8 + 4x + (2 * -1 + x * -1) = 18
8 + 4x + (-2 + -1x) = 18

Reorder the terms:
8 + -2 + 4x + -1x = 18

Combine like terms: 8 + -2 = 6
6 + 4x + -1x = 18

Combine like terms: 4x + -1x = 3x
6 + 3x = 18

Solving
6 + 3x = 18

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 + 3x = 18 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = 18 + -6
3x = 18 + -6

Combine like terms: 18 + -6 = 12
3x = 12

Divide each side by '3'.
x = 4

Simplifying
x = 4

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