11(x+3)=3(x+26)

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Solution for 11(x+3)=3(x+26) equation:


Simplifying
11(x + 3) = 3(x + 26)

Reorder the terms:
11(3 + x) = 3(x + 26)
(3 * 11 + x * 11) = 3(x + 26)
(33 + 11x) = 3(x + 26)

Reorder the terms:
33 + 11x = 3(26 + x)
33 + 11x = (26 * 3 + x * 3)
33 + 11x = (78 + 3x)

Solving
33 + 11x = 78 + 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.
33 + 11x + -3x = 78 + 3x + -3x

Combine like terms: 11x + -3x = 8x
33 + 8x = 78 + 3x + -3x

Combine like terms: 3x + -3x = 0
33 + 8x = 78 + 0
33 + 8x = 78

Add '-33' to each side of the equation.
33 + -33 + 8x = 78 + -33

Combine like terms: 33 + -33 = 0
0 + 8x = 78 + -33
8x = 78 + -33

Combine like terms: 78 + -33 = 45
8x = 45

Divide each side by '8'.
x = 5.625

Simplifying
x = 5.625

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