(5x-3)+2(x+45)=90

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Solution for (5x-3)+2(x+45)=90 equation:


Simplifying
(5x + -3) + 2(x + 45) = 90

Reorder the terms:
(-3 + 5x) + 2(x + 45) = 90

Remove parenthesis around (-3 + 5x)
-3 + 5x + 2(x + 45) = 90

Reorder the terms:
-3 + 5x + 2(45 + x) = 90
-3 + 5x + (45 * 2 + x * 2) = 90
-3 + 5x + (90 + 2x) = 90

Reorder the terms:
-3 + 90 + 5x + 2x = 90

Combine like terms: -3 + 90 = 87
87 + 5x + 2x = 90

Combine like terms: 5x + 2x = 7x
87 + 7x = 90

Solving
87 + 7x = 90

Solving for variable 'x'.

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

Add '-87' to each side of the equation.
87 + -87 + 7x = 90 + -87

Combine like terms: 87 + -87 = 0
0 + 7x = 90 + -87
7x = 90 + -87

Combine like terms: 90 + -87 = 3
7x = 3

Divide each side by '7'.
x = 0.4285714286

Simplifying
x = 0.4285714286

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