-3(x-2)+7x=10

Solution for -3(x-2)+7x=10 equation:

Simplifying
-3(x + -2) + 7x = 10

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

Combine like terms: -3x + 7x = 4x
6 + 4x = 10

Solving
6 + 4x = 10

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 4x = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = 10 + -6
4x = 10 + -6

Combine like terms: 10 + -6 = 4
4x = 4

Divide each side by '4'.
x = 1

Simplifying
x = 1