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

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


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

Reorder the terms:
4 + -3(6 + x) = 5 + 6(1 + -1x)
4 + (6 * -3 + x * -3) = 5 + 6(1 + -1x)
4 + (-18 + -3x) = 5 + 6(1 + -1x)

Combine like terms: 4 + -18 = -14
-14 + -3x = 5 + 6(1 + -1x)
-14 + -3x = 5 + (1 * 6 + -1x * 6)
-14 + -3x = 5 + (6 + -6x)

Combine like terms: 5 + 6 = 11
-14 + -3x = 11 + -6x

Solving
-14 + -3x = 11 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-14 + -3x + 6x = 11 + -6x + 6x

Combine like terms: -3x + 6x = 3x
-14 + 3x = 11 + -6x + 6x

Combine like terms: -6x + 6x = 0
-14 + 3x = 11 + 0
-14 + 3x = 11

Add '14' to each side of the equation.
-14 + 14 + 3x = 11 + 14

Combine like terms: -14 + 14 = 0
0 + 3x = 11 + 14
3x = 11 + 14

Combine like terms: 11 + 14 = 25
3x = 25

Divide each side by '3'.
x = 8.333333333

Simplifying
x = 8.333333333

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