15(x-1)+20(x+1)=75

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Solution for 15(x-1)+20(x+1)=75 equation:


Simplifying
15(x + -1) + 20(x + 1) = 75

Reorder the terms:
15(-1 + x) + 20(x + 1) = 75
(-1 * 15 + x * 15) + 20(x + 1) = 75
(-15 + 15x) + 20(x + 1) = 75

Reorder the terms:
-15 + 15x + 20(1 + x) = 75
-15 + 15x + (1 * 20 + x * 20) = 75
-15 + 15x + (20 + 20x) = 75

Reorder the terms:
-15 + 20 + 15x + 20x = 75

Combine like terms: -15 + 20 = 5
5 + 15x + 20x = 75

Combine like terms: 15x + 20x = 35x
5 + 35x = 75

Solving
5 + 35x = 75

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 35x = 75 + -5

Combine like terms: 5 + -5 = 0
0 + 35x = 75 + -5
35x = 75 + -5

Combine like terms: 75 + -5 = 70
35x = 70

Divide each side by '35'.
x = 2

Simplifying
x = 2

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