3(4+5)-6=-6(x-8)+7

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Solution for 3(4+5)-6=-6(x-8)+7 equation: 


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

Combine like terms: 4 + 5 = 9
3(9) + -6 = -6(x + -8) + 7

Multiply 3 * 9
27 + -6 = -6(x + -8) + 7

Combine like terms: 27 + -6 = 21
21 = -6(x + -8) + 7

Reorder the terms:
21 = -6(-8 + x) + 7
21 = (-8 * -6 + x * -6) + 7
21 = (48 + -6x) + 7

Reorder the terms:
21 = 48 + 7 + -6x

Combine like terms: 48 + 7 = 55
21 = 55 + -6x

Solving
21 = 55 + -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.
21 + 6x = 55 + -6x + 6x

Combine like terms: -6x + 6x = 0
21 + 6x = 55 + 0
21 + 6x = 55

Add '-21' to each side of the equation.
21 + -21 + 6x = 55 + -21

Combine like terms: 21 + -21 = 0
0 + 6x = 55 + -21
6x = 55 + -21

Combine like terms: 55 + -21 = 34
6x = 34

Divide each side by '6'.
x = 5.666666667

Simplifying
x = 5.666666667

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