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

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


Simplifying
5(x + -3) = 3(11 + -1x)

Reorder the terms:
5(-3 + x) = 3(11 + -1x)
(-3 * 5 + x * 5) = 3(11 + -1x)
(-15 + 5x) = 3(11 + -1x)
-15 + 5x = (11 * 3 + -1x * 3)
-15 + 5x = (33 + -3x)

Solving
-15 + 5x = 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.
-15 + 5x + 3x = 33 + -3x + 3x

Combine like terms: 5x + 3x = 8x
-15 + 8x = 33 + -3x + 3x

Combine like terms: -3x + 3x = 0
-15 + 8x = 33 + 0
-15 + 8x = 33

Add '15' to each side of the equation.
-15 + 15 + 8x = 33 + 15

Combine like terms: -15 + 15 = 0
0 + 8x = 33 + 15
8x = 33 + 15

Combine like terms: 33 + 15 = 48
8x = 48

Divide each side by '8'.
x = 6

Simplifying
x = 6

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