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

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


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

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

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

Reorder the terms:
12 + -2x = 3 + 1 + 3x

Combine like terms: 3 + 1 = 4
12 + -2x = 4 + 3x

Solving
12 + -2x = 4 + 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.
12 + -2x + -3x = 4 + 3x + -3x

Combine like terms: -2x + -3x = -5x
12 + -5x = 4 + 3x + -3x

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

Add '-12' to each side of the equation.
12 + -12 + -5x = 4 + -12

Combine like terms: 12 + -12 = 0
0 + -5x = 4 + -12
-5x = 4 + -12

Combine like terms: 4 + -12 = -8
-5x = -8

Divide each side by '-5'.
x = 1.6

Simplifying
x = 1.6

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