8(x+5)+7=11-3(x-6)

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Solution for 8(x+5)+7=11-3(x-6) equation:


Simplifying
8(x + 5) + 7 = 11 + -3(x + -6)

Reorder the terms:
8(5 + x) + 7 = 11 + -3(x + -6)
(5 * 8 + x * 8) + 7 = 11 + -3(x + -6)
(40 + 8x) + 7 = 11 + -3(x + -6)

Reorder the terms:
40 + 7 + 8x = 11 + -3(x + -6)

Combine like terms: 40 + 7 = 47
47 + 8x = 11 + -3(x + -6)

Reorder the terms:
47 + 8x = 11 + -3(-6 + x)
47 + 8x = 11 + (-6 * -3 + x * -3)
47 + 8x = 11 + (18 + -3x)

Combine like terms: 11 + 18 = 29
47 + 8x = 29 + -3x

Solving
47 + 8x = 29 + -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.
47 + 8x + 3x = 29 + -3x + 3x

Combine like terms: 8x + 3x = 11x
47 + 11x = 29 + -3x + 3x

Combine like terms: -3x + 3x = 0
47 + 11x = 29 + 0
47 + 11x = 29

Add '-47' to each side of the equation.
47 + -47 + 11x = 29 + -47

Combine like terms: 47 + -47 = 0
0 + 11x = 29 + -47
11x = 29 + -47

Combine like terms: 29 + -47 = -18
11x = -18

Divide each side by '11'.
x = -1.636363636

Simplifying
x = -1.636363636

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