2(4x-3)=2(x+21)

Solution for 2(4x-3)=2(x+21) equation:

Simplifying
2(4x + -3) = 2(x + 21)

Reorder the terms:
2(-3 + 4x) = 2(x + 21)
(-3 * 2 + 4x * 2) = 2(x + 21)
(-6 + 8x) = 2(x + 21)

Reorder the terms:
-6 + 8x = 2(21 + x)
-6 + 8x = (21 * 2 + x * 2)
-6 + 8x = (42 + 2x)

Solving
-6 + 8x = 42 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-6 + 8x + -2x = 42 + 2x + -2x

Combine like terms: 8x + -2x = 6x
-6 + 6x = 42 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + 6x = 42 + 0
-6 + 6x = 42

Add '6' to each side of the equation.
-6 + 6 + 6x = 42 + 6

Combine like terms: -6 + 6 = 0
0 + 6x = 42 + 6
6x = 42 + 6

Combine like terms: 42 + 6 = 48
6x = 48

Divide each side by '6'.
x = 8

Simplifying
x = 8