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

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


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

Reorder the terms:
3(5 + x) + -5(x + 1) = 5
(5 * 3 + x * 3) + -5(x + 1) = 5
(15 + 3x) + -5(x + 1) = 5

Reorder the terms:
15 + 3x + -5(1 + x) = 5
15 + 3x + (1 * -5 + x * -5) = 5
15 + 3x + (-5 + -5x) = 5

Reorder the terms:
15 + -5 + 3x + -5x = 5

Combine like terms: 15 + -5 = 10
10 + 3x + -5x = 5

Combine like terms: 3x + -5x = -2x
10 + -2x = 5

Solving
10 + -2x = 5

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + -2x = 5 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = 5 + -10
-2x = 5 + -10

Combine like terms: 5 + -10 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5

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