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

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


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

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

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

Combine like terms: 8x + x = 9x
36 + 9x = 3(x + -8) + 10x

Reorder the terms:
36 + 9x = 3(-8 + x) + 10x
36 + 9x = (-8 * 3 + x * 3) + 10x
36 + 9x = (-24 + 3x) + 10x

Combine like terms: 3x + 10x = 13x
36 + 9x = -24 + 13x

Solving
36 + 9x = -24 + 13x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-13x' to each side of the equation.
36 + 9x + -13x = -24 + 13x + -13x

Combine like terms: 9x + -13x = -4x
36 + -4x = -24 + 13x + -13x

Combine like terms: 13x + -13x = 0
36 + -4x = -24 + 0
36 + -4x = -24

Add '-36' to each side of the equation.
36 + -36 + -4x = -24 + -36

Combine like terms: 36 + -36 = 0
0 + -4x = -24 + -36
-4x = -24 + -36

Combine like terms: -24 + -36 = -60
-4x = -60

Divide each side by '-4'.
x = 15

Simplifying
x = 15

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