-12x+4*(x-9)=3*(2-5x)

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Solution for -12x+4*(x-9)=3*(2-5x) equation:


Simplifying
-12x + 4(x + -9) = 3(2 + -5x)

Reorder the terms:
-12x + 4(-9 + x) = 3(2 + -5x)
-12x + (-9 * 4 + x * 4) = 3(2 + -5x)
-12x + (-36 + 4x) = 3(2 + -5x)

Reorder the terms:
-36 + -12x + 4x = 3(2 + -5x)

Combine like terms: -12x + 4x = -8x
-36 + -8x = 3(2 + -5x)
-36 + -8x = (2 * 3 + -5x * 3)
-36 + -8x = (6 + -15x)

Solving
-36 + -8x = 6 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
-36 + -8x + 15x = 6 + -15x + 15x

Combine like terms: -8x + 15x = 7x
-36 + 7x = 6 + -15x + 15x

Combine like terms: -15x + 15x = 0
-36 + 7x = 6 + 0
-36 + 7x = 6

Add '36' to each side of the equation.
-36 + 36 + 7x = 6 + 36

Combine like terms: -36 + 36 = 0
0 + 7x = 6 + 36
7x = 6 + 36

Combine like terms: 6 + 36 = 42
7x = 42

Divide each side by '7'.
x = 6

Simplifying
x = 6

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