6-3(x-5)=5x-11

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Solution for 6-3(x-5)=5x-11 equation:


Simplifying
6 + -3(x + -5) = 5x + -11

Reorder the terms:
6 + -3(-5 + x) = 5x + -11
6 + (-5 * -3 + x * -3) = 5x + -11
6 + (15 + -3x) = 5x + -11

Combine like terms: 6 + 15 = 21
21 + -3x = 5x + -11

Reorder the terms:
21 + -3x = -11 + 5x

Solving
21 + -3x = -11 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
21 + -3x + -5x = -11 + 5x + -5x

Combine like terms: -3x + -5x = -8x
21 + -8x = -11 + 5x + -5x

Combine like terms: 5x + -5x = 0
21 + -8x = -11 + 0
21 + -8x = -11

Add '-21' to each side of the equation.
21 + -21 + -8x = -11 + -21

Combine like terms: 21 + -21 = 0
0 + -8x = -11 + -21
-8x = -11 + -21

Combine like terms: -11 + -21 = -32
-8x = -32

Divide each side by '-8'.
x = 4

Simplifying
x = 4

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