3(4x-5)-3(1-5x)=36

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Solution for 3(4x-5)-3(1-5x)=36 equation:


Simplifying
3(4x + -5) + -3(1 + -5x) = 36

Reorder the terms:
3(-5 + 4x) + -3(1 + -5x) = 36
(-5 * 3 + 4x * 3) + -3(1 + -5x) = 36
(-15 + 12x) + -3(1 + -5x) = 36
-15 + 12x + (1 * -3 + -5x * -3) = 36
-15 + 12x + (-3 + 15x) = 36

Reorder the terms:
-15 + -3 + 12x + 15x = 36

Combine like terms: -15 + -3 = -18
-18 + 12x + 15x = 36

Combine like terms: 12x + 15x = 27x
-18 + 27x = 36

Solving
-18 + 27x = 36

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 27x = 36 + 18

Combine like terms: -18 + 18 = 0
0 + 27x = 36 + 18
27x = 36 + 18

Combine like terms: 36 + 18 = 54
27x = 54

Divide each side by '27'.
x = 2

Simplifying
x = 2

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