3x+2(x-5)=x-5x+18

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Solution for 3x+2(x-5)=x-5x+18 equation:


Simplifying
3x + 2(x + -5) = x + -5x + 18

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

Reorder the terms:
-10 + 3x + 2x = x + -5x + 18

Combine like terms: 3x + 2x = 5x
-10 + 5x = x + -5x + 18

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

Combine like terms: x + -5x = -4x
-10 + 5x = 18 + -4x

Solving
-10 + 5x = 18 + -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.
-10 + 5x + 4x = 18 + -4x + 4x

Combine like terms: 5x + 4x = 9x
-10 + 9x = 18 + -4x + 4x

Combine like terms: -4x + 4x = 0
-10 + 9x = 18 + 0
-10 + 9x = 18

Add '10' to each side of the equation.
-10 + 10 + 9x = 18 + 10

Combine like terms: -10 + 10 = 0
0 + 9x = 18 + 10
9x = 18 + 10

Combine like terms: 18 + 10 = 28
9x = 28

Divide each side by '9'.
x = 3.111111111

Simplifying
x = 3.111111111

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