2(-3x+5)-6x=-3(x+4)

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Solution for 2(-3x+5)-6x=-3(x+4) equation: 


Simplifying
2(-3x + 5) + -6x = -3(x + 4)

Reorder the terms:
2(5 + -3x) + -6x = -3(x + 4)
(5 * 2 + -3x * 2) + -6x = -3(x + 4)
(10 + -6x) + -6x = -3(x + 4)

Combine like terms: -6x + -6x = -12x
10 + -12x = -3(x + 4)

Reorder the terms:
10 + -12x = -3(4 + x)
10 + -12x = (4 * -3 + x * -3)
10 + -12x = (-12 + -3x)

Solving
10 + -12x = -12 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
10 + -12x + 3x = -12 + -3x + 3x

Combine like terms: -12x + 3x = -9x
10 + -9x = -12 + -3x + 3x

Combine like terms: -3x + 3x = 0
10 + -9x = -12 + 0
10 + -9x = -12

Add '-10' to each side of the equation.
10 + -10 + -9x = -12 + -10

Combine like terms: 10 + -10 = 0
0 + -9x = -12 + -10
-9x = -12 + -10

Combine like terms: -12 + -10 = -22
-9x = -22

Divide each side by '-9'.
x = 2.444444444

Simplifying
x = 2.444444444

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