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

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


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

Reorder the terms:
6x + -2(5 + 4x) = 3(x + -6) + 2
6x + (5 * -2 + 4x * -2) = 3(x + -6) + 2
6x + (-10 + -8x) = 3(x + -6) + 2

Reorder the terms:
-10 + 6x + -8x = 3(x + -6) + 2

Combine like terms: 6x + -8x = -2x
-10 + -2x = 3(x + -6) + 2

Reorder the terms:
-10 + -2x = 3(-6 + x) + 2
-10 + -2x = (-6 * 3 + x * 3) + 2
-10 + -2x = (-18 + 3x) + 2

Reorder the terms:
-10 + -2x = -18 + 2 + 3x

Combine like terms: -18 + 2 = -16
-10 + -2x = -16 + 3x

Solving
-10 + -2x = -16 + 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 + -2x + -3x = -16 + 3x + -3x

Combine like terms: -2x + -3x = -5x
-10 + -5x = -16 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + -5x = -16 + 0
-10 + -5x = -16

Add '10' to each side of the equation.
-10 + 10 + -5x = -16 + 10

Combine like terms: -10 + 10 = 0
0 + -5x = -16 + 10
-5x = -16 + 10

Combine like terms: -16 + 10 = -6
-5x = -6

Divide each side by '-5'.
x = 1.2

Simplifying
x = 1.2

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