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

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

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

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

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

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

Reorder the terms for easier multiplication:
6 + 3x = 7(-10 + x)
6 + 3x = (-10 * 7 + x * 7)
6 + 3x = (-70 + 7x)

Solving
6 + 3x = -70 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
6 + 3x + -7x = -70 + 7x + -7x

Combine like terms: 3x + -7x = -4x
6 + -4x = -70 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 + -4x = -70 + 0
6 + -4x = -70

Add '-6' to each side of the equation.
6 + -6 + -4x = -70 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = -70 + -6
-4x = -70 + -6

Combine like terms: -70 + -6 = -76
-4x = -76

Divide each side by '-4'.
x = 19

Simplifying
x = 19