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

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

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

Reorder the terms:
2(-3 + x) = 6(3x + -7)
(-3 * 2 + x * 2) = 6(3x + -7)
(-6 + 2x) = 6(3x + -7)

Reorder the terms:
-6 + 2x = 6(-7 + 3x)
-6 + 2x = (-7 * 6 + 3x * 6)
-6 + 2x = (-42 + 18x)

Solving
-6 + 2x = -42 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
-6 + 2x + -18x = -42 + 18x + -18x

Combine like terms: 2x + -18x = -16x
-6 + -16x = -42 + 18x + -18x

Combine like terms: 18x + -18x = 0
-6 + -16x = -42 + 0
-6 + -16x = -42

Add '6' to each side of the equation.
-6 + 6 + -16x = -42 + 6

Combine like terms: -6 + 6 = 0
0 + -16x = -42 + 6
-16x = -42 + 6

Combine like terms: -42 + 6 = -36
-16x = -36

Divide each side by '-16'.
x = 2.25

Simplifying
x = 2.25