x+x+2+x+4=5(x+2)-18

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Solution for x+x+2+x+4=5(x+2)-18 equation:


Simplifying
x + x + 2 + x + 4 = 5(x + 2) + -18

Reorder the terms:
2 + 4 + x + x + x = 5(x + 2) + -18

Combine like terms: 2 + 4 = 6
6 + x + x + x = 5(x + 2) + -18

Combine like terms: x + x = 2x
6 + 2x + x = 5(x + 2) + -18

Combine like terms: 2x + x = 3x
6 + 3x = 5(x + 2) + -18

Reorder the terms:
6 + 3x = 5(2 + x) + -18
6 + 3x = (2 * 5 + x * 5) + -18
6 + 3x = (10 + 5x) + -18

Reorder the terms:
6 + 3x = 10 + -18 + 5x

Combine like terms: 10 + -18 = -8
6 + 3x = -8 + 5x

Solving
6 + 3x = -8 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + 3x + -5x = -8 + 5x + -5x

Combine like terms: 3x + -5x = -2x
6 + -2x = -8 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -2x = -8 + 0
6 + -2x = -8

Add '-6' to each side of the equation.
6 + -6 + -2x = -8 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = -8 + -6
-2x = -8 + -6

Combine like terms: -8 + -6 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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