10x-3=30x+5

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Solution for 10x-3=30x+5 equation:


Simplifying
10x + -3 = 30x + 5

Reorder the terms:
-3 + 10x = 30x + 5

Reorder the terms:
-3 + 10x = 5 + 30x

Solving
-3 + 10x = 5 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
-3 + 10x + -30x = 5 + 30x + -30x

Combine like terms: 10x + -30x = -20x
-3 + -20x = 5 + 30x + -30x

Combine like terms: 30x + -30x = 0
-3 + -20x = 5 + 0
-3 + -20x = 5

Add '3' to each side of the equation.
-3 + 3 + -20x = 5 + 3

Combine like terms: -3 + 3 = 0
0 + -20x = 5 + 3
-20x = 5 + 3

Combine like terms: 5 + 3 = 8
-20x = 8

Divide each side by '-20'.
x = -0.4

Simplifying
x = -0.4

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