5(x+3)=11(2x+7)

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Solution for 5(x+3)=11(2x+7) equation:


Simplifying
5(x + 3) = 11(2x + 7)

Reorder the terms:
5(3 + x) = 11(2x + 7)
(3 * 5 + x * 5) = 11(2x + 7)
(15 + 5x) = 11(2x + 7)

Reorder the terms:
15 + 5x = 11(7 + 2x)
15 + 5x = (7 * 11 + 2x * 11)
15 + 5x = (77 + 22x)

Solving
15 + 5x = 77 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
15 + 5x + -22x = 77 + 22x + -22x

Combine like terms: 5x + -22x = -17x
15 + -17x = 77 + 22x + -22x

Combine like terms: 22x + -22x = 0
15 + -17x = 77 + 0
15 + -17x = 77

Add '-15' to each side of the equation.
15 + -15 + -17x = 77 + -15

Combine like terms: 15 + -15 = 0
0 + -17x = 77 + -15
-17x = 77 + -15

Combine like terms: 77 + -15 = 62
-17x = 62

Divide each side by '-17'.
x = -3.647058824

Simplifying
x = -3.647058824

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