11-5(3-x)=2(x+3)+6x

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Solution for 11-5(3-x)=2(x+3)+6x equation:


Simplifying
11 + -5(3 + -1x) = 2(x + 3) + 6x
11 + (3 * -5 + -1x * -5) = 2(x + 3) + 6x
11 + (-15 + 5x) = 2(x + 3) + 6x

Combine like terms: 11 + -15 = -4
-4 + 5x = 2(x + 3) + 6x

Reorder the terms:
-4 + 5x = 2(3 + x) + 6x
-4 + 5x = (3 * 2 + x * 2) + 6x
-4 + 5x = (6 + 2x) + 6x

Combine like terms: 2x + 6x = 8x
-4 + 5x = 6 + 8x

Solving
-4 + 5x = 6 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-4 + 5x + -8x = 6 + 8x + -8x

Combine like terms: 5x + -8x = -3x
-4 + -3x = 6 + 8x + -8x

Combine like terms: 8x + -8x = 0
-4 + -3x = 6 + 0
-4 + -3x = 6

Add '4' to each side of the equation.
-4 + 4 + -3x = 6 + 4

Combine like terms: -4 + 4 = 0
0 + -3x = 6 + 4
-3x = 6 + 4

Combine like terms: 6 + 4 = 10
-3x = 10

Divide each side by '-3'.
x = -3.333333333

Simplifying
x = -3.333333333

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