7(x-3)=2(3+8)

Solution for 7(x-3)=2(3+8) equation:

Simplifying
7(x + -3) = 2(3 + 8)

Reorder the terms:
7(-3 + x) = 2(3 + 8)
(-3 * 7 + x * 7) = 2(3 + 8)
(-21 + 7x) = 2(3 + 8)

Combine like terms: 3 + 8 = 11
-21 + 7x = 2(11)

Multiply 2 * 11
-21 + 7x = 22

Solving
-21 + 7x = 22

Solving for variable 'x'.

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

Add '21' to each side of the equation.
-21 + 21 + 7x = 22 + 21

Combine like terms: -21 + 21 = 0
0 + 7x = 22 + 21
7x = 22 + 21

Combine like terms: 22 + 21 = 43
7x = 43

Divide each side by '7'.
x = 6.142857143

Simplifying
x = 6.142857143