5(x+9)+x=3(x+2)-8

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Solution for 5(x+9)+x=3(x+2)-8 equation:


Simplifying
5(x + 9) + x = 3(x + 2) + -8

Reorder the terms:
5(9 + x) + x = 3(x + 2) + -8
(9 * 5 + x * 5) + x = 3(x + 2) + -8
(45 + 5x) + x = 3(x + 2) + -8

Combine like terms: 5x + x = 6x
45 + 6x = 3(x + 2) + -8

Reorder the terms:
45 + 6x = 3(2 + x) + -8
45 + 6x = (2 * 3 + x * 3) + -8
45 + 6x = (6 + 3x) + -8

Reorder the terms:
45 + 6x = 6 + -8 + 3x

Combine like terms: 6 + -8 = -2
45 + 6x = -2 + 3x

Solving
45 + 6x = -2 + 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.
45 + 6x + -3x = -2 + 3x + -3x

Combine like terms: 6x + -3x = 3x
45 + 3x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
45 + 3x = -2 + 0
45 + 3x = -2

Add '-45' to each side of the equation.
45 + -45 + 3x = -2 + -45

Combine like terms: 45 + -45 = 0
0 + 3x = -2 + -45
3x = -2 + -45

Combine like terms: -2 + -45 = -47
3x = -47

Divide each side by '3'.
x = -15.66666667

Simplifying
x = -15.66666667

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