5*(x+5)+11=7*(x+8)

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Solution for 5*(x+5)+11=7*(x+8) equation:


Simplifying
5(x + 5) + 11 = 7(x + 8)

Reorder the terms:
5(5 + x) + 11 = 7(x + 8)
(5 * 5 + x * 5) + 11 = 7(x + 8)
(25 + 5x) + 11 = 7(x + 8)

Reorder the terms:
25 + 11 + 5x = 7(x + 8)

Combine like terms: 25 + 11 = 36
36 + 5x = 7(x + 8)

Reorder the terms:
36 + 5x = 7(8 + x)
36 + 5x = (8 * 7 + x * 7)
36 + 5x = (56 + 7x)

Solving
36 + 5x = 56 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
36 + 5x + -7x = 56 + 7x + -7x

Combine like terms: 5x + -7x = -2x
36 + -2x = 56 + 7x + -7x

Combine like terms: 7x + -7x = 0
36 + -2x = 56 + 0
36 + -2x = 56

Add '-36' to each side of the equation.
36 + -36 + -2x = 56 + -36

Combine like terms: 36 + -36 = 0
0 + -2x = 56 + -36
-2x = 56 + -36

Combine like terms: 56 + -36 = 20
-2x = 20

Divide each side by '-2'.
x = -10

Simplifying
x = -10

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