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

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


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

Reorder the terms:
45 = (8 + x) + (3x + -3)

Remove parenthesis around (8 + x)
45 = 8 + x + (3x + -3)

Reorder the terms:
45 = 8 + x + (-3 + 3x)

Remove parenthesis around (-3 + 3x)
45 = 8 + x + -3 + 3x

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

Combine like terms: 8 + -3 = 5
45 = 5 + x + 3x

Combine like terms: x + 3x = 4x
45 = 5 + 4x

Solving
45 = 5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
45 + -4x = 5 + 4x + -4x

Combine like terms: 4x + -4x = 0
45 + -4x = 5 + 0
45 + -4x = 5

Add '-45' to each side of the equation.
45 + -45 + -4x = 5 + -45

Combine like terms: 45 + -45 = 0
0 + -4x = 5 + -45
-4x = 5 + -45

Combine like terms: 5 + -45 = -40
-4x = -40

Divide each side by '-4'.
x = 10

Simplifying
x = 10

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