3x-7=71-10x

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Solution for 3x-7=71-10x equation:


Simplifying
3x + -7 = 71 + -10x

Reorder the terms:
-7 + 3x = 71 + -10x

Solving
-7 + 3x = 71 + -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.
-7 + 3x + 10x = 71 + -10x + 10x

Combine like terms: 3x + 10x = 13x
-7 + 13x = 71 + -10x + 10x

Combine like terms: -10x + 10x = 0
-7 + 13x = 71 + 0
-7 + 13x = 71

Add '7' to each side of the equation.
-7 + 7 + 13x = 71 + 7

Combine like terms: -7 + 7 = 0
0 + 13x = 71 + 7
13x = 71 + 7

Combine like terms: 71 + 7 = 78
13x = 78

Divide each side by '13'.
x = 6

Simplifying
x = 6

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