2(5x+3)=2-9(x+8)

Solution for 2(5x+3)=2-9(x+8) equation:

Simplifying
2(5x + 3) = 2 + -9(x + 8)

Reorder the terms:
2(3 + 5x) = 2 + -9(x + 8)
(3 * 2 + 5x * 2) = 2 + -9(x + 8)
(6 + 10x) = 2 + -9(x + 8)

Reorder the terms:
6 + 10x = 2 + -9(8 + x)
6 + 10x = 2 + (8 * -9 + x * -9)
6 + 10x = 2 + (-72 + -9x)

Combine like terms: 2 + -72 = -70
6 + 10x = -70 + -9x

Solving
6 + 10x = -70 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
6 + 10x + 9x = -70 + -9x + 9x

Combine like terms: 10x + 9x = 19x
6 + 19x = -70 + -9x + 9x

Combine like terms: -9x + 9x = 0
6 + 19x = -70 + 0
6 + 19x = -70

Add '-6' to each side of the equation.
6 + -6 + 19x = -70 + -6

Combine like terms: 6 + -6 = 0
0 + 19x = -70 + -6
19x = -70 + -6

Combine like terms: -70 + -6 = -76
19x = -76

Divide each side by '19'.
x = -4

Simplifying
x = -4