x=3(x+1)+(2x-5)

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Solution for x=3(x+1)+(2x-5) equation:


Simplifying
x = 3(x + 1) + (2x + -5)

Reorder the terms:
x = 3(1 + x) + (2x + -5)
x = (1 * 3 + x * 3) + (2x + -5)
x = (3 + 3x) + (2x + -5)

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

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

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

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

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

Solving
x = -2 + 5x

Solving for variable 'x'.

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

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

Combine like terms: x + -5x = -4x
-4x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
-4x = -2 + 0
-4x = -2

Divide each side by '-4'.
x = 0.5

Simplifying
x = 0.5

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