9(x+5)+x=3(x+3)+7

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Solution for 9(x+5)+x=3(x+3)+7 equation: 


Simplifying
9(x + 5) + x = 3(x + 3) + 7

Reorder the terms:
9(5 + x) + x = 3(x + 3) + 7
(5 * 9 + x * 9) + x = 3(x + 3) + 7
(45 + 9x) + x = 3(x + 3) + 7

Combine like terms: 9x + x = 10x
45 + 10x = 3(x + 3) + 7

Reorder the terms:
45 + 10x = 3(3 + x) + 7
45 + 10x = (3 * 3 + x * 3) + 7
45 + 10x = (9 + 3x) + 7

Reorder the terms:
45 + 10x = 9 + 7 + 3x

Combine like terms: 9 + 7 = 16
45 + 10x = 16 + 3x

Solving
45 + 10x = 16 + 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 = 16 + 3x + -3x

Combine like terms: 10x + -3x = 7x
45 + 7x = 16 + 3x + -3x

Combine like terms: 3x + -3x = 0
45 + 7x = 16 + 0
45 + 7x = 16

Add '-45' to each side of the equation.
45 + -45 + 7x = 16 + -45

Combine like terms: 45 + -45 = 0
0 + 7x = 16 + -45
7x = 16 + -45

Combine like terms: 16 + -45 = -29
7x = -29

Divide each side by '7'.
x = -4.142857143

Simplifying
x = -4.142857143

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