8-3(x+2)=2(4-3x)-45

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Solution for 8-3(x+2)=2(4-3x)-45 equation: 


Simplifying
8 + -3(x + 2) = 2(4 + -3x) + -45

Reorder the terms:
8 + -3(2 + x) = 2(4 + -3x) + -45
8 + (2 * -3 + x * -3) = 2(4 + -3x) + -45
8 + (-6 + -3x) = 2(4 + -3x) + -45

Combine like terms: 8 + -6 = 2
2 + -3x = 2(4 + -3x) + -45
2 + -3x = (4 * 2 + -3x * 2) + -45
2 + -3x = (8 + -6x) + -45

Reorder the terms:
2 + -3x = 8 + -45 + -6x

Combine like terms: 8 + -45 = -37
2 + -3x = -37 + -6x

Solving
2 + -3x = -37 + -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.
2 + -3x + 6x = -37 + -6x + 6x

Combine like terms: -3x + 6x = 3x
2 + 3x = -37 + -6x + 6x

Combine like terms: -6x + 6x = 0
2 + 3x = -37 + 0
2 + 3x = -37

Add '-2' to each side of the equation.
2 + -2 + 3x = -37 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = -37 + -2
3x = -37 + -2

Combine like terms: -37 + -2 = -39
3x = -39

Divide each side by '3'.
x = -13

Simplifying
x = -13

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