8x+4(9+x)=3(x-1)+10

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Solution for 8x+4(9+x)=3(x-1)+10 equation: 


Simplifying
8x + 4(9 + x) = 3(x + -1) + 10
8x + (9 * 4 + x * 4) = 3(x + -1) + 10
8x + (36 + 4x) = 3(x + -1) + 10

Reorder the terms:
36 + 8x + 4x = 3(x + -1) + 10

Combine like terms: 8x + 4x = 12x
36 + 12x = 3(x + -1) + 10

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

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

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

Solving
36 + 12x = 7 + 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 + 12x + -3x = 7 + 3x + -3x

Combine like terms: 12x + -3x = 9x
36 + 9x = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0
36 + 9x = 7 + 0
36 + 9x = 7

Add '-36' to each side of the equation.
36 + -36 + 9x = 7 + -36

Combine like terms: 36 + -36 = 0
0 + 9x = 7 + -36
9x = 7 + -36

Combine like terms: 7 + -36 = -29
9x = -29

Divide each side by '9'.
x = -3.222222222

Simplifying
x = -3.222222222

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