9(x+5)+x=3(x+2)+6

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Solution for 9(x+5)+x=3(x+2)+6 equation:


Simplifying
9(x + 5) + x = 3(x + 2) + 6

Reorder the terms:
9(5 + x) + x = 3(x + 2) + 6
(5 * 9 + x * 9) + x = 3(x + 2) + 6
(45 + 9x) + x = 3(x + 2) + 6

Combine like terms: 9x + x = 10x
45 + 10x = 3(x + 2) + 6

Reorder the terms:
45 + 10x = 3(2 + x) + 6
45 + 10x = (2 * 3 + x * 3) + 6
45 + 10x = (6 + 3x) + 6

Reorder the terms:
45 + 10x = 6 + 6 + 3x

Combine like terms: 6 + 6 = 12
45 + 10x = 12 + 3x

Solving
45 + 10x = 12 + 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 + 10x + -3x = 12 + 3x + -3x

Combine like terms: 10x + -3x = 7x
45 + 7x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
45 + 7x = 12 + 0
45 + 7x = 12

Add '-45' to each side of the equation.
45 + -45 + 7x = 12 + -45

Combine like terms: 45 + -45 = 0
0 + 7x = 12 + -45
7x = 12 + -45

Combine like terms: 12 + -45 = -33
7x = -33

Divide each side by '7'.
x = -4.714285714

Simplifying
x = -4.714285714

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