5(2x-7)=33-3(6+4)

Solution for 5(2x-7)=33-3(6+4) equation:

Simplifying
5(2x + -7) = 33 + -3(6 + 4)

Reorder the terms:
5(-7 + 2x) = 33 + -3(6 + 4)
(-7 * 5 + 2x * 5) = 33 + -3(6 + 4)
(-35 + 10x) = 33 + -3(6 + 4)

Combine like terms: 6 + 4 = 10
-35 + 10x = 33 + -3(10)

Multiply -3 * 10
-35 + 10x = 33 + -30

Combine like terms: 33 + -30 = 3
-35 + 10x = 3

Solving
-35 + 10x = 3

Solving for variable 'x'.

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

Add '35' to each side of the equation.
-35 + 35 + 10x = 3 + 35

Combine like terms: -35 + 35 = 0
0 + 10x = 3 + 35
10x = 3 + 35

Combine like terms: 3 + 35 = 38
10x = 38

Divide each side by '10'.
x = 3.8

Simplifying
x = 3.8