6(2x+1)-3(4x-3)-(6x+10)=(4x-3)+3

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Solution for 6(2x+1)-3(4x-3)-(6x+10)=(4x-3)+3 equation: 


Simplifying
6(2x + 1) + -3(4x + -3) + -1(6x + 10) = (4x + -3) + 3

Reorder the terms:
6(1 + 2x) + -3(4x + -3) + -1(6x + 10) = (4x + -3) + 3
(1 * 6 + 2x * 6) + -3(4x + -3) + -1(6x + 10) = (4x + -3) + 3
(6 + 12x) + -3(4x + -3) + -1(6x + 10) = (4x + -3) + 3

Reorder the terms:
6 + 12x + -3(-3 + 4x) + -1(6x + 10) = (4x + -3) + 3
6 + 12x + (-3 * -3 + 4x * -3) + -1(6x + 10) = (4x + -3) + 3
6 + 12x + (9 + -12x) + -1(6x + 10) = (4x + -3) + 3

Reorder the terms:
6 + 12x + 9 + -12x + -1(10 + 6x) = (4x + -3) + 3
6 + 12x + 9 + -12x + (10 * -1 + 6x * -1) = (4x + -3) + 3
6 + 12x + 9 + -12x + (-10 + -6x) = (4x + -3) + 3

Reorder the terms:
6 + 9 + -10 + 12x + -12x + -6x = (4x + -3) + 3

Combine like terms: 6 + 9 = 15
15 + -10 + 12x + -12x + -6x = (4x + -3) + 3

Combine like terms: 15 + -10 = 5
5 + 12x + -12x + -6x = (4x + -3) + 3

Combine like terms: 12x + -12x = 0
5 + 0 + -6x = (4x + -3) + 3
5 + -6x = (4x + -3) + 3

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

Remove parenthesis around (-3 + 4x)
5 + -6x = -3 + 4x + 3

Reorder the terms:
5 + -6x = -3 + 3 + 4x

Combine like terms: -3 + 3 = 0
5 + -6x = 0 + 4x
5 + -6x = 4x

Solving
5 + -6x = 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
5 + -6x + -4x = 4x + -4x

Combine like terms: -6x + -4x = -10x
5 + -10x = 4x + -4x

Combine like terms: 4x + -4x = 0
5 + -10x = 0

Add '-5' to each side of the equation.
5 + -5 + -10x = 0 + -5

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

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

Divide each side by '-10'.
x = 0.5

Simplifying
x = 0.5

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