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

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


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

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

Reorder the terms:
-12 + 2x = 3 + 5 + -3x

Combine like terms: 3 + 5 = 8
-12 + 2x = 8 + -3x

Solving
-12 + 2x = 8 + -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 = 8 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-12 + 5x = 8 + -3x + 3x

Combine like terms: -3x + 3x = 0
-12 + 5x = 8 + 0
-12 + 5x = 8

Add '12' to each side of the equation.
-12 + 12 + 5x = 8 + 12

Combine like terms: -12 + 12 = 0
0 + 5x = 8 + 12
5x = 8 + 12

Combine like terms: 8 + 12 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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