10x-100=3x-30

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Solution for 10x-100=3x-30 equation:


Simplifying
10x + -100 = 3x + -30

Reorder the terms:
-100 + 10x = 3x + -30

Reorder the terms:
-100 + 10x = -30 + 3x

Solving
-100 + 10x = -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.
-100 + 10x + -3x = -30 + 3x + -3x

Combine like terms: 10x + -3x = 7x
-100 + 7x = -30 + 3x + -3x

Combine like terms: 3x + -3x = 0
-100 + 7x = -30 + 0
-100 + 7x = -30

Add '100' to each side of the equation.
-100 + 100 + 7x = -30 + 100

Combine like terms: -100 + 100 = 0
0 + 7x = -30 + 100
7x = -30 + 100

Combine like terms: -30 + 100 = 70
7x = 70

Divide each side by '7'.
x = 10

Simplifying
x = 10

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