10x+30=12x+20

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Solution for 10x+30=12x+20 equation:


Simplifying
10x + 30 = 12x + 20

Reorder the terms:
30 + 10x = 12x + 20

Reorder the terms:
30 + 10x = 20 + 12x

Solving
30 + 10x = 20 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
30 + 10x + -12x = 20 + 12x + -12x

Combine like terms: 10x + -12x = -2x
30 + -2x = 20 + 12x + -12x

Combine like terms: 12x + -12x = 0
30 + -2x = 20 + 0
30 + -2x = 20

Add '-30' to each side of the equation.
30 + -30 + -2x = 20 + -30

Combine like terms: 30 + -30 = 0
0 + -2x = 20 + -30
-2x = 20 + -30

Combine like terms: 20 + -30 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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