3x-3=75-10x

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Solution for 3x-3=75-10x equation:


Simplifying
3x + -3 = 75 + -10x

Reorder the terms:
-3 + 3x = 75 + -10x

Solving
-3 + 3x = 75 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-3 + 3x + 10x = 75 + -10x + 10x

Combine like terms: 3x + 10x = 13x
-3 + 13x = 75 + -10x + 10x

Combine like terms: -10x + 10x = 0
-3 + 13x = 75 + 0
-3 + 13x = 75

Add '3' to each side of the equation.
-3 + 3 + 13x = 75 + 3

Combine like terms: -3 + 3 = 0
0 + 13x = 75 + 3
13x = 75 + 3

Combine like terms: 75 + 3 = 78
13x = 78

Divide each side by '13'.
x = 6

Simplifying
x = 6

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