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

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

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

Reorder the terms:
2(3 + x) = 5(1 + -1x)
(3 * 2 + x * 2) = 5(1 + -1x)
(6 + 2x) = 5(1 + -1x)
6 + 2x = (1 * 5 + -1x * 5)
6 + 2x = (5 + -5x)

Solving
6 + 2x = 5 + -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.
6 + 2x + 5x = 5 + -5x + 5x

Combine like terms: 2x + 5x = 7x
6 + 7x = 5 + -5x + 5x

Combine like terms: -5x + 5x = 0
6 + 7x = 5 + 0
6 + 7x = 5

Add '-6' to each side of the equation.
6 + -6 + 7x = 5 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = 5 + -6
7x = 5 + -6

Combine like terms: 5 + -6 = -1
7x = -1

Divide each side by '7'.
x = -0.1428571429

Simplifying
x = -0.1428571429