-5(6-x)+6=12-7(x+2)

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Solution for -5(6-x)+6=12-7(x+2) equation:


Simplifying
-5(6 + -1x) + 6 = 12 + -7(x + 2)
(6 * -5 + -1x * -5) + 6 = 12 + -7(x + 2)
(-30 + 5x) + 6 = 12 + -7(x + 2)

Reorder the terms:
-30 + 6 + 5x = 12 + -7(x + 2)

Combine like terms: -30 + 6 = -24
-24 + 5x = 12 + -7(x + 2)

Reorder the terms:
-24 + 5x = 12 + -7(2 + x)
-24 + 5x = 12 + (2 * -7 + x * -7)
-24 + 5x = 12 + (-14 + -7x)

Combine like terms: 12 + -14 = -2
-24 + 5x = -2 + -7x

Solving
-24 + 5x = -2 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-24 + 5x + 7x = -2 + -7x + 7x

Combine like terms: 5x + 7x = 12x
-24 + 12x = -2 + -7x + 7x

Combine like terms: -7x + 7x = 0
-24 + 12x = -2 + 0
-24 + 12x = -2

Add '24' to each side of the equation.
-24 + 24 + 12x = -2 + 24

Combine like terms: -24 + 24 = 0
0 + 12x = -2 + 24
12x = -2 + 24

Combine like terms: -2 + 24 = 22
12x = 22

Divide each side by '12'.
x = 1.833333333

Simplifying
x = 1.833333333

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