(4x-3)+(5x-42)=90

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Solution for (4x-3)+(5x-42)=90 equation:


Simplifying
(4x + -3) + (5x + -42) = 90

Reorder the terms:
(-3 + 4x) + (5x + -42) = 90

Remove parenthesis around (-3 + 4x)
-3 + 4x + (5x + -42) = 90

Reorder the terms:
-3 + 4x + (-42 + 5x) = 90

Remove parenthesis around (-42 + 5x)
-3 + 4x + -42 + 5x = 90

Reorder the terms:
-3 + -42 + 4x + 5x = 90

Combine like terms: -3 + -42 = -45
-45 + 4x + 5x = 90

Combine like terms: 4x + 5x = 9x
-45 + 9x = 90

Solving
-45 + 9x = 90

Solving for variable 'x'.

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

Add '45' to each side of the equation.
-45 + 45 + 9x = 90 + 45

Combine like terms: -45 + 45 = 0
0 + 9x = 90 + 45
9x = 90 + 45

Combine like terms: 90 + 45 = 135
9x = 135

Divide each side by '9'.
x = 15

Simplifying
x = 15

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