(2x-1)+(5x-42)=90

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Solution for (2x-1)+(5x-42)=90 equation:


Simplifying
(2x + -1) + (5x + -42) = 90

Reorder the terms:
(-1 + 2x) + (5x + -42) = 90

Remove parenthesis around (-1 + 2x)
-1 + 2x + (5x + -42) = 90

Reorder the terms:
-1 + 2x + (-42 + 5x) = 90

Remove parenthesis around (-42 + 5x)
-1 + 2x + -42 + 5x = 90

Reorder the terms:
-1 + -42 + 2x + 5x = 90

Combine like terms: -1 + -42 = -43
-43 + 2x + 5x = 90

Combine like terms: 2x + 5x = 7x
-43 + 7x = 90

Solving
-43 + 7x = 90

Solving for variable 'x'.

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

Add '43' to each side of the equation.
-43 + 43 + 7x = 90 + 43

Combine like terms: -43 + 43 = 0
0 + 7x = 90 + 43
7x = 90 + 43

Combine like terms: 90 + 43 = 133
7x = 133

Divide each side by '7'.
x = 19

Simplifying
x = 19

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