-2(x-3)=5(2x+13)

Solution for -2(x-3)=5(2x+13) equation:

Simplifying
-2(x + -3) = 5(2x + 13)

Reorder the terms:
-2(-3 + x) = 5(2x + 13)
(-3 * -2 + x * -2) = 5(2x + 13)
(6 + -2x) = 5(2x + 13)

Reorder the terms:
6 + -2x = 5(13 + 2x)
6 + -2x = (13 * 5 + 2x * 5)
6 + -2x = (65 + 10x)

Solving
6 + -2x = 65 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
6 + -2x + -10x = 65 + 10x + -10x

Combine like terms: -2x + -10x = -12x
6 + -12x = 65 + 10x + -10x

Combine like terms: 10x + -10x = 0
6 + -12x = 65 + 0
6 + -12x = 65

Add '-6' to each side of the equation.
6 + -6 + -12x = 65 + -6

Combine like terms: 6 + -6 = 0
0 + -12x = 65 + -6
-12x = 65 + -6

Combine like terms: 65 + -6 = 59
-12x = 59

Divide each side by '-12'.
x = -4.916666667

Simplifying
x = -4.916666667