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 = -9
-9 + -3x = 5x + -11

Reorder the terms:
-9 + -3x = -11 + 5x

Solving
-9 + -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.
-9 + -3x + -5x = -11 + 5x + -5x

Combine like terms: -3x + -5x = -8x
-9 + -8x = -11 + 5x + -5x

Combine like terms: 5x + -5x = 0
-9 + -8x = -11 + 0
-9 + -8x = -11

Add '9' to each side of the equation.
-9 + 9 + -8x = -11 + 9

Combine like terms: -9 + 9 = 0
0 + -8x = -11 + 9
-8x = -11 + 9

Combine like terms: -11 + 9 = -2
-8x = -2

Divide each side by '-8'.
x = 0.25

Simplifying
x = 0.25

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