15x+4(3-5x)=2[4x-.3(x-6)-12]-7x

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Solution for 15x+4(3-5x)=2[4x-.3(x-6)-12]-7x equation: 


Simplifying
15x + 4(3 + -5x) = 2[4x + -0.3(x + -6) + -12] + -7x
15x + (3 * 4 + -5x * 4) = 2[4x + -0.3(x + -6) + -12] + -7x
15x + (12 + -20x) = 2[4x + -0.3(x + -6) + -12] + -7x

Reorder the terms:
12 + 15x + -20x = 2[4x + -0.3(x + -6) + -12] + -7x

Combine like terms: 15x + -20x = -5x
12 + -5x = 2[4x + -0.3(x + -6) + -12] + -7x

Reorder the terms:
12 + -5x = 2[4x + -0.3(-6 + x) + -12] + -7x
12 + -5x = 2[4x + (-6 * -0.3 + x * -0.3) + -12] + -7x
12 + -5x = 2[4x + (1.8 + -0.3x) + -12] + -7x

Reorder the terms:
12 + -5x = 2[1.8 + -12 + 4x + -0.3x] + -7x

Combine like terms: 1.8 + -12 = -10.2
12 + -5x = 2[-10.2 + 4x + -0.3x] + -7x

Combine like terms: 4x + -0.3x = 3.7x
12 + -5x = 2[-10.2 + 3.7x] + -7x
12 + -5x = [-10.2 * 2 + 3.7x * 2] + -7x
12 + -5x = [-20.4 + 7.4x] + -7x

Combine like terms: 7.4x + -7x = 0.4x
12 + -5x = -20.4 + 0.4x

Solving
12 + -5x = -20.4 + 0.4x

Solving for variable 'x'.

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

Add '-0.4x' to each side of the equation.
12 + -5x + -0.4x = -20.4 + 0.4x + -0.4x

Combine like terms: -5x + -0.4x = -5.4x
12 + -5.4x = -20.4 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
12 + -5.4x = -20.4 + 0.0
12 + -5.4x = -20.4

Add '-12' to each side of the equation.
12 + -12 + -5.4x = -20.4 + -12

Combine like terms: 12 + -12 = 0
0 + -5.4x = -20.4 + -12
-5.4x = -20.4 + -12

Combine like terms: -20.4 + -12 = -32.4
-5.4x = -32.4

Divide each side by '-5.4'.
x = 6

Simplifying
x = 6

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