10x-15(17-10)=3-2(50-30)

Solution for 10x-15(17-10)=3-2(50-30) equation:

Simplifying
10x + -15(17 + -10) = 3 + -2(50 + -30)

Combine like terms: 17 + -10 = 7
10x + -15(7) = 3 + -2(50 + -30)

Multiply -15 * 7
10x + -105 = 3 + -2(50 + -30)

Reorder the terms:
-105 + 10x = 3 + -2(50 + -30)

Combine like terms: 50 + -30 = 20
-105 + 10x = 3 + -2(20)

Multiply -2 * 20
-105 + 10x = 3 + -40

Combine like terms: 3 + -40 = -37
-105 + 10x = -37

Solving
-105 + 10x = -37

Solving for variable 'x'.

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

Add '105' to each side of the equation.
-105 + 105 + 10x = -37 + 105

Combine like terms: -105 + 105 = 0
0 + 10x = -37 + 105
10x = -37 + 105

Combine like terms: -37 + 105 = 68
10x = 68

Divide each side by '10'.
x = 6.8

Simplifying
x = 6.8