2(3x-5)=3-(6+x)

Solution for 2(3x-5)=3-(6+x) equation:

Simplifying
2(3x + -5) = 3 + -1(6 + x)

Reorder the terms:
2(-5 + 3x) = 3 + -1(6 + x)
(-5 * 2 + 3x * 2) = 3 + -1(6 + x)
(-10 + 6x) = 3 + -1(6 + x)
-10 + 6x = 3 + (6 * -1 + x * -1)
-10 + 6x = 3 + (-6 + -1x)

Combine like terms: 3 + -6 = -3
-10 + 6x = -3 + -1x

Solving
-10 + 6x = -3 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-10 + 6x + x = -3 + -1x + x

Combine like terms: 6x + x = 7x
-10 + 7x = -3 + -1x + x

Combine like terms: -1x + x = 0
-10 + 7x = -3 + 0
-10 + 7x = -3

Add '10' to each side of the equation.
-10 + 10 + 7x = -3 + 10

Combine like terms: -10 + 10 = 0
0 + 7x = -3 + 10
7x = -3 + 10

Combine like terms: -3 + 10 = 7
7x = 7

Divide each side by '7'.
x = 1

Simplifying
x = 1