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

x=-4

Step-by-step explanation:

Distribute 2 (x-3) = 2x-6 So, your new equation is 2x-6=6x-5. Then, you would subtract 2x from 6x so your new equation is - 6=4x-5 then add 5 to both sides. so your new equation is - 1=4x then you divide - 1 from both sides and you'd get x=-4

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

Simplifying

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

Reorder the terms:

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

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

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

Reorder the terms:

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

Combine like terms: - 6 + 3 = - 3

-3 + 2x = 6x + - 5

Reorder the terms:

-3 + 2x = - 5 + 6x

Solving

-3 + 2x = - 5 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.

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

Combine like terms: 2x + - 6x = - 4x

-3 + - 4x = - 5 + 6x + - 6x

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

-3 + - 4x = - 5 + 0

-3 + - 4x = - 5

Add '3' to each side of the equation.

-3 + 3 + - 4x = - 5 + 3

Combine like terms: - 3 + 3 = 0

0 + - 4x = - 5 + 3

-4x = - 5 + 3

Combine like terms: - 5 + 3 = - 2

-4x = - 2

Divide each side by '-4'.

x = 0.5

Simplifying

x = 0.5