3(x-2)+7x=3x+71

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Solution for 3(x-2)+7x=3x+71 equation:


Simplifying
3(x + -2) + 7x = 3x + 71

Reorder the terms:
3(-2 + x) + 7x = 3x + 71
(-2 * 3 + x * 3) + 7x = 3x + 71
(-6 + 3x) + 7x = 3x + 71

Combine like terms: 3x + 7x = 10x
-6 + 10x = 3x + 71

Reorder the terms:
-6 + 10x = 71 + 3x

Solving
-6 + 10x = 71 + 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.
-6 + 10x + -3x = 71 + 3x + -3x

Combine like terms: 10x + -3x = 7x
-6 + 7x = 71 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + 7x = 71 + 0
-6 + 7x = 71

Add '6' to each side of the equation.
-6 + 6 + 7x = 71 + 6

Combine like terms: -6 + 6 = 0
0 + 7x = 71 + 6
7x = 71 + 6

Combine like terms: 71 + 6 = 77
7x = 77

Divide each side by '7'.
x = 11

Simplifying
x = 11

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