(3x+-4)*5+36+-4*(15-3x)=10

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Solution for (3x+-4)*5+36+-4*(15-3x)=10 equation: 


Simplifying
(3x + -4) * 5 + 36 + -4(15 + -3x) = 10

Reorder the terms:
(-4 + 3x) * 5 + 36 + -4(15 + -3x) = 10

Reorder the terms for easier multiplication:
5(-4 + 3x) + 36 + -4(15 + -3x) = 10
(-4 * 5 + 3x * 5) + 36 + -4(15 + -3x) = 10
(-20 + 15x) + 36 + -4(15 + -3x) = 10
-20 + 15x + 36 + (15 * -4 + -3x * -4) = 10
-20 + 15x + 36 + (-60 + 12x) = 10

Reorder the terms:
-20 + 36 + -60 + 15x + 12x = 10

Combine like terms: -20 + 36 = 16
16 + -60 + 15x + 12x = 10

Combine like terms: 16 + -60 = -44
-44 + 15x + 12x = 10

Combine like terms: 15x + 12x = 27x
-44 + 27x = 10

Solving
-44 + 27x = 10

Solving for variable 'x'.

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

Add '44' to each side of the equation.
-44 + 44 + 27x = 10 + 44

Combine like terms: -44 + 44 = 0
0 + 27x = 10 + 44
27x = 10 + 44

Combine like terms: 10 + 44 = 54
27x = 54

Divide each side by '27'.
x = 2

Simplifying
x = 2

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