(15x-45)+(3x-9)=14x-42+42x-126

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Solution for (15x-45)+(3x-9)=14x-42+42x-126 equation: 


Simplifying
(15x + -45) + (3x + -9) = 14x + -42 + 42x + -126

Reorder the terms:
(-45 + 15x) + (3x + -9) = 14x + -42 + 42x + -126

Remove parenthesis around (-45 + 15x)
-45 + 15x + (3x + -9) = 14x + -42 + 42x + -126

Reorder the terms:
-45 + 15x + (-9 + 3x) = 14x + -42 + 42x + -126

Remove parenthesis around (-9 + 3x)
-45 + 15x + -9 + 3x = 14x + -42 + 42x + -126

Reorder the terms:
-45 + -9 + 15x + 3x = 14x + -42 + 42x + -126

Combine like terms: -45 + -9 = -54
-54 + 15x + 3x = 14x + -42 + 42x + -126

Combine like terms: 15x + 3x = 18x
-54 + 18x = 14x + -42 + 42x + -126

Reorder the terms:
-54 + 18x = -42 + -126 + 14x + 42x

Combine like terms: -42 + -126 = -168
-54 + 18x = -168 + 14x + 42x

Combine like terms: 14x + 42x = 56x
-54 + 18x = -168 + 56x

Solving
-54 + 18x = -168 + 56x

Solving for variable 'x'.

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

Add '-56x' to each side of the equation.
-54 + 18x + -56x = -168 + 56x + -56x

Combine like terms: 18x + -56x = -38x
-54 + -38x = -168 + 56x + -56x

Combine like terms: 56x + -56x = 0
-54 + -38x = -168 + 0
-54 + -38x = -168

Add '54' to each side of the equation.
-54 + 54 + -38x = -168 + 54

Combine like terms: -54 + 54 = 0
0 + -38x = -168 + 54
-38x = -168 + 54

Combine like terms: -168 + 54 = -114
-38x = -114

Divide each side by '-38'.
x = 3

Simplifying
x = 3

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