5x+3(-x-1)=45

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Solution for 5x+3(-x-1)=45 equation:


Simplifying
5x + 3(-1x + -1) = 45

Reorder the terms:
5x + 3(-1 + -1x) = 45
5x + (-1 * 3 + -1x * 3) = 45
5x + (-3 + -3x) = 45

Reorder the terms:
-3 + 5x + -3x = 45

Combine like terms: 5x + -3x = 2x
-3 + 2x = 45

Solving
-3 + 2x = 45

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 2x = 45 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = 45 + 3
2x = 45 + 3

Combine like terms: 45 + 3 = 48
2x = 48

Divide each side by '2'.
x = 24

Simplifying
x = 24

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