4(2-3x)+6=(7-6x)+5

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Solution for 4(2-3x)+6=(7-6x)+5 equation:


Simplifying
4(2 + -3x) + 6 = (7 + -6x) + 5
(2 * 4 + -3x * 4) + 6 = (7 + -6x) + 5
(8 + -12x) + 6 = (7 + -6x) + 5

Reorder the terms:
8 + 6 + -12x = (7 + -6x) + 5

Combine like terms: 8 + 6 = 14
14 + -12x = (7 + -6x) + 5

Remove parenthesis around (7 + -6x)
14 + -12x = 7 + -6x + 5

Reorder the terms:
14 + -12x = 7 + 5 + -6x

Combine like terms: 7 + 5 = 12
14 + -12x = 12 + -6x

Solving
14 + -12x = 12 + -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 + -12x + 6x = 12 + -6x + 6x

Combine like terms: -12x + 6x = -6x
14 + -6x = 12 + -6x + 6x

Combine like terms: -6x + 6x = 0
14 + -6x = 12 + 0
14 + -6x = 12

Add '-14' to each side of the equation.
14 + -14 + -6x = 12 + -14

Combine like terms: 14 + -14 = 0
0 + -6x = 12 + -14
-6x = 12 + -14

Combine like terms: 12 + -14 = -2
-6x = -2

Divide each side by '-6'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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