2(x-3)=11(x-21)

Solution for 2(x-3)=11(x-21) equation:

Simplifying
2(x + -3) = 11(x + -21)

Reorder the terms:
2(-3 + x) = 11(x + -21)
(-3 * 2 + x * 2) = 11(x + -21)
(-6 + 2x) = 11(x + -21)

Reorder the terms:
-6 + 2x = 11(-21 + x)
-6 + 2x = (-21 * 11 + x * 11)
-6 + 2x = (-231 + 11x)

Solving
-6 + 2x = -231 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
-6 + 2x + -11x = -231 + 11x + -11x

Combine like terms: 2x + -11x = -9x
-6 + -9x = -231 + 11x + -11x

Combine like terms: 11x + -11x = 0
-6 + -9x = -231 + 0
-6 + -9x = -231

Add '6' to each side of the equation.
-6 + 6 + -9x = -231 + 6

Combine like terms: -6 + 6 = 0
0 + -9x = -231 + 6
-9x = -231 + 6

Combine like terms: -231 + 6 = -225
-9x = -225

Divide each side by '-9'.
x = 25

Simplifying
x = 25