(2x-18)+(3x-8)=4x+2

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Solution for (2x-18)+(3x-8)=4x+2 equation:


Simplifying
(2x + -18) + (3x + -8) = 4x + 2

Reorder the terms:
(-18 + 2x) + (3x + -8) = 4x + 2

Remove parenthesis around (-18 + 2x)
-18 + 2x + (3x + -8) = 4x + 2

Reorder the terms:
-18 + 2x + (-8 + 3x) = 4x + 2

Remove parenthesis around (-8 + 3x)
-18 + 2x + -8 + 3x = 4x + 2

Reorder the terms:
-18 + -8 + 2x + 3x = 4x + 2

Combine like terms: -18 + -8 = -26
-26 + 2x + 3x = 4x + 2

Combine like terms: 2x + 3x = 5x
-26 + 5x = 4x + 2

Reorder the terms:
-26 + 5x = 2 + 4x

Solving
-26 + 5x = 2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-26 + 5x + -4x = 2 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-26 + 1x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
-26 + 1x = 2 + 0
-26 + 1x = 2

Add '26' to each side of the equation.
-26 + 26 + 1x = 2 + 26

Combine like terms: -26 + 26 = 0
0 + 1x = 2 + 26
1x = 2 + 26

Combine like terms: 2 + 26 = 28
1x = 28

Divide each side by '1'.
x = 28

Simplifying
x = 28

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