2(7x-6)=3(1-3x)

Solution for 2(7x-6)=3(1-3x) equation:

Simplifying
2(7x + -6) = 3(1 + -3x)

Reorder the terms:
2(-6 + 7x) = 3(1 + -3x)
(-6 * 2 + 7x * 2) = 3(1 + -3x)
(-12 + 14x) = 3(1 + -3x)
-12 + 14x = (1 * 3 + -3x * 3)
-12 + 14x = (3 + -9x)

Solving
-12 + 14x = 3 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-12 + 14x + 9x = 3 + -9x + 9x

Combine like terms: 14x + 9x = 23x
-12 + 23x = 3 + -9x + 9x

Combine like terms: -9x + 9x = 0
-12 + 23x = 3 + 0
-12 + 23x = 3

Add '12' to each side of the equation.
-12 + 12 + 23x = 3 + 12

Combine like terms: -12 + 12 = 0
0 + 23x = 3 + 12
23x = 3 + 12

Combine like terms: 3 + 12 = 15
23x = 15

Divide each side by '23'.
x = 0.652173913

Simplifying
x = 0.652173913