1-2(6x-5)=4(6-x)+3

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Solution for 1-2(6x-5)=4(6-x)+3 equation:


Simplifying
1 + -2(6x + -5) = 4(6 + -1x) + 3

Reorder the terms:
1 + -2(-5 + 6x) = 4(6 + -1x) + 3
1 + (-5 * -2 + 6x * -2) = 4(6 + -1x) + 3
1 + (10 + -12x) = 4(6 + -1x) + 3

Combine like terms: 1 + 10 = 11
11 + -12x = 4(6 + -1x) + 3
11 + -12x = (6 * 4 + -1x * 4) + 3
11 + -12x = (24 + -4x) + 3

Reorder the terms:
11 + -12x = 24 + 3 + -4x

Combine like terms: 24 + 3 = 27
11 + -12x = 27 + -4x

Solving
11 + -12x = 27 + -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.
11 + -12x + 4x = 27 + -4x + 4x

Combine like terms: -12x + 4x = -8x
11 + -8x = 27 + -4x + 4x

Combine like terms: -4x + 4x = 0
11 + -8x = 27 + 0
11 + -8x = 27

Add '-11' to each side of the equation.
11 + -11 + -8x = 27 + -11

Combine like terms: 11 + -11 = 0
0 + -8x = 27 + -11
-8x = 27 + -11

Combine like terms: 27 + -11 = 16
-8x = 16

Divide each side by '-8'.
x = -2

Simplifying
x = -2

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