3(x-9)=2(x-8)-11

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Solution for 3(x-9)=2(x-8)-11 equation:


Simplifying
3(x + -9) = 2(x + -8) + -11

Reorder the terms:
3(-9 + x) = 2(x + -8) + -11
(-9 * 3 + x * 3) = 2(x + -8) + -11
(-27 + 3x) = 2(x + -8) + -11

Reorder the terms:
-27 + 3x = 2(-8 + x) + -11
-27 + 3x = (-8 * 2 + x * 2) + -11
-27 + 3x = (-16 + 2x) + -11

Reorder the terms:
-27 + 3x = -16 + -11 + 2x

Combine like terms: -16 + -11 = -27
-27 + 3x = -27 + 2x

Add '27' to each side of the equation.
-27 + 27 + 3x = -27 + 27 + 2x

Combine like terms: -27 + 27 = 0
0 + 3x = -27 + 27 + 2x
3x = -27 + 27 + 2x

Combine like terms: -27 + 27 = 0
3x = 0 + 2x
3x = 2x

Solving
3x = 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.
3x + -2x = 2x + -2x

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

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

Divide each side by '1'.
x = 0

Simplifying
x = 0

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