3(4x-2)=13x-3

Solution for 3(4x-2)=13x-3 equation:

Simplifying
3(4x + -2) = 13x + -3

Reorder the terms:
3(-2 + 4x) = 13x + -3
(-2 * 3 + 4x * 3) = 13x + -3
(-6 + 12x) = 13x + -3

Reorder the terms:
-6 + 12x = -3 + 13x

Solving
-6 + 12x = -3 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
-6 + 12x + -13x = -3 + 13x + -13x

Combine like terms: 12x + -13x = -1x
-6 + -1x = -3 + 13x + -13x

Combine like terms: 13x + -13x = 0
-6 + -1x = -3 + 0
-6 + -1x = -3

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

Combine like terms: -6 + 6 = 0
0 + -1x = -3 + 6
-1x = -3 + 6

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

Divide each side by '-1'.
x = -3

Simplifying
x = -3