3x-11=2(x-3)-8

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Solution for 3x-11=2(x-3)-8 equation:


Simplifying
3x + -11 = 2(x + -3) + -8

Reorder the terms:
-11 + 3x = 2(x + -3) + -8

Reorder the terms:
-11 + 3x = 2(-3 + x) + -8
-11 + 3x = (-3 * 2 + x * 2) + -8
-11 + 3x = (-6 + 2x) + -8

Reorder the terms:
-11 + 3x = -6 + -8 + 2x

Combine like terms: -6 + -8 = -14
-11 + 3x = -14 + 2x

Solving
-11 + 3x = -14 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-11 + 3x + -2x = -14 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-11 + 1x = -14 + 2x + -2x

Combine like terms: 2x + -2x = 0
-11 + 1x = -14 + 0
-11 + 1x = -14

Add '11' to each side of the equation.
-11 + 11 + 1x = -14 + 11

Combine like terms: -11 + 11 = 0
0 + 1x = -14 + 11
1x = -14 + 11

Combine like terms: -14 + 11 = -3
1x = -3

Divide each side by '1'.
x = -3

Simplifying
x = -3

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