x+2x-10=-3x+30

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Solution for x+2x-10=-3x+30 equation:


Simplifying
x + 2x + -10 = -3x + 30

Reorder the terms:
-10 + x + 2x = -3x + 30

Combine like terms: x + 2x = 3x
-10 + 3x = -3x + 30

Reorder the terms:
-10 + 3x = 30 + -3x

Solving
-10 + 3x = 30 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-10 + 3x + 3x = 30 + -3x + 3x

Combine like terms: 3x + 3x = 6x
-10 + 6x = 30 + -3x + 3x

Combine like terms: -3x + 3x = 0
-10 + 6x = 30 + 0
-10 + 6x = 30

Add '10' to each side of the equation.
-10 + 10 + 6x = 30 + 10

Combine like terms: -10 + 10 = 0
0 + 6x = 30 + 10
6x = 30 + 10

Combine like terms: 30 + 10 = 40
6x = 40

Divide each side by '6'.
x = 6.666666667

Simplifying
x = 6.666666667

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