9(1x+4)+1x=3(1x+4)+7

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Solution for 9(1x+4)+1x=3(1x+4)+7 equation: 


Simplifying
9(1x + 4) + 1x = 3(1x + 4) + 7

Reorder the terms:
9(4 + 1x) + 1x = 3(1x + 4) + 7
(4 * 9 + 1x * 9) + 1x = 3(1x + 4) + 7
(36 + 9x) + 1x = 3(1x + 4) + 7

Combine like terms: 9x + 1x = 10x
36 + 10x = 3(1x + 4) + 7

Reorder the terms:
36 + 10x = 3(4 + 1x) + 7
36 + 10x = (4 * 3 + 1x * 3) + 7
36 + 10x = (12 + 3x) + 7

Reorder the terms:
36 + 10x = 12 + 7 + 3x

Combine like terms: 12 + 7 = 19
36 + 10x = 19 + 3x

Solving
36 + 10x = 19 + 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.
36 + 10x + -3x = 19 + 3x + -3x

Combine like terms: 10x + -3x = 7x
36 + 7x = 19 + 3x + -3x

Combine like terms: 3x + -3x = 0
36 + 7x = 19 + 0
36 + 7x = 19

Add '-36' to each side of the equation.
36 + -36 + 7x = 19 + -36

Combine like terms: 36 + -36 = 0
0 + 7x = 19 + -36
7x = 19 + -36

Combine like terms: 19 + -36 = -17
7x = -17

Divide each side by '7'.
x = -2.428571429

Simplifying
x = -2.428571429

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