-3(x-2)+6x-10=17

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Solution for -3(x-2)+6x-10=17 equation:


Simplifying
-3(x + -2) + 6x + -10 = 17

Reorder the terms:
-3(-2 + x) + 6x + -10 = 17
(-2 * -3 + x * -3) + 6x + -10 = 17
(6 + -3x) + 6x + -10 = 17

Reorder the terms:
6 + -10 + -3x + 6x = 17

Combine like terms: 6 + -10 = -4
-4 + -3x + 6x = 17

Combine like terms: -3x + 6x = 3x
-4 + 3x = 17

Solving
-4 + 3x = 17

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 3x = 17 + 4

Combine like terms: -4 + 4 = 0
0 + 3x = 17 + 4
3x = 17 + 4

Combine like terms: 17 + 4 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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