-7=-3(x-2)+11

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Solution for -7=-3(x-2)+11 equation:


Simplifying
-7 = -3(x + -2) + 11

Reorder the terms:
-7 = -3(-2 + x) + 11
-7 = (-2 * -3 + x * -3) + 11
-7 = (6 + -3x) + 11

Reorder the terms:
-7 = 6 + 11 + -3x

Combine like terms: 6 + 11 = 17
-7 = 17 + -3x

Solving
-7 = 17 + -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.
-7 + 3x = 17 + -3x + 3x

Combine like terms: -3x + 3x = 0
-7 + 3x = 17 + 0
-7 + 3x = 17

Add '7' to each side of the equation.
-7 + 7 + 3x = 17 + 7

Combine like terms: -7 + 7 = 0
0 + 3x = 17 + 7
3x = 17 + 7

Combine like terms: 17 + 7 = 24
3x = 24

Divide each side by '3'.
x = 8

Simplifying
x = 8

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