10x-30-20=3x+x-8

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Solution for 10x-30-20=3x+x-8 equation:


Simplifying
10x + -30 + -20 = 3x + x + -8

Reorder the terms:
-30 + -20 + 10x = 3x + x + -8

Combine like terms: -30 + -20 = -50
-50 + 10x = 3x + x + -8

Reorder the terms:
-50 + 10x = -8 + 3x + x

Combine like terms: 3x + x = 4x
-50 + 10x = -8 + 4x

Solving
-50 + 10x = -8 + 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.
-50 + 10x + -4x = -8 + 4x + -4x

Combine like terms: 10x + -4x = 6x
-50 + 6x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-50 + 6x = -8 + 0
-50 + 6x = -8

Add '50' to each side of the equation.
-50 + 50 + 6x = -8 + 50

Combine like terms: -50 + 50 = 0
0 + 6x = -8 + 50
6x = -8 + 50

Combine like terms: -8 + 50 = 42
6x = 42

Divide each side by '6'.
x = 7

Simplifying
x = 7

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