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

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


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

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

Combine like terms: 6 + 5 = 11
11 + -6x = 3(2 + -1x) + -4
11 + -6x = (2 * 3 + -1x * 3) + -4
11 + -6x = (6 + -3x) + -4

Reorder the terms:
11 + -6x = 6 + -4 + -3x

Combine like terms: 6 + -4 = 2
11 + -6x = 2 + -3x

Solving
11 + -6x = 2 + -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.
11 + -6x + 3x = 2 + -3x + 3x

Combine like terms: -6x + 3x = -3x
11 + -3x = 2 + -3x + 3x

Combine like terms: -3x + 3x = 0
11 + -3x = 2 + 0
11 + -3x = 2

Add '-11' to each side of the equation.
11 + -11 + -3x = 2 + -11

Combine like terms: 11 + -11 = 0
0 + -3x = 2 + -11
-3x = 2 + -11

Combine like terms: 2 + -11 = -9
-3x = -9

Divide each side by '-3'.
x = 3

Simplifying
x = 3

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