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

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


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

Reorder the terms:
5x + -3(3 + 2x) = 3(x + 11)
5x + (3 * -3 + 2x * -3) = 3(x + 11)
5x + (-9 + -6x) = 3(x + 11)

Reorder the terms:
-9 + 5x + -6x = 3(x + 11)

Combine like terms: 5x + -6x = -1x
-9 + -1x = 3(x + 11)

Reorder the terms:
-9 + -1x = 3(11 + x)
-9 + -1x = (11 * 3 + x * 3)
-9 + -1x = (33 + 3x)

Solving
-9 + -1x = 33 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-9 + -1x + -3x = 33 + 3x + -3x

Combine like terms: -1x + -3x = -4x
-9 + -4x = 33 + 3x + -3x

Combine like terms: 3x + -3x = 0
-9 + -4x = 33 + 0
-9 + -4x = 33

Add '9' to each side of the equation.
-9 + 9 + -4x = 33 + 9

Combine like terms: -9 + 9 = 0
0 + -4x = 33 + 9
-4x = 33 + 9

Combine like terms: 33 + 9 = 42
-4x = 42

Divide each side by '-4'.
x = -10.5

Simplifying
x = -10.5

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