What the answer to 3 (x-4) = 2 (-2x+1)

Answer:x = 2

Step-by-step explanation:

Simplifying

3 (x + - 4) = 2 (-2x + 1)

Reorder the terms:

3 (-4 + x) = 2 (-2x + 1)

(-4 * 3 + x * 3) = 2 (-2x + 1)

(-12 + 3x) = 2 (-2x + 1)

Reorder the terms:

-12 + 3x = 2 (1 + - 2x)

-12 + 3x = (1 * 2 + - 2x * 2)

-12 + 3x = (2 + - 4x)

Solving

-12 + 3x = 2 + - 4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.

-12 + 3x + 4x = 2 + - 4x + 4x

Combine like terms: 3x + 4x = 7x

-12 + 7x = 2 + - 4x + 4x

Combine like terms: - 4x + 4x = 0

-12 + 7x = 2 + 0

-12 + 7x = 2

Add '12' to each side of the equation.

-12 + 12 + 7x = 2 + 12

Combine like terms: - 12 + 12 = 0

0 + 7x = 2 + 12

7x = 2 + 12

Combine like terms: 2 + 12 = 14

7x = 14

Divide each side by '7'.

x = 2

Simplifying

x = 2