3(x+2)+7x=2(x+1)

Solution for 3(x+2)+7x=2(x+1) equation:

Simplifying
3(x + 2) + 7x = 2(x + 1)

Reorder the terms:
3(2 + x) + 7x = 2(x + 1)
(2 * 3 + x * 3) + 7x = 2(x + 1)
(6 + 3x) + 7x = 2(x + 1)

Combine like terms: 3x + 7x = 10x
6 + 10x = 2(x + 1)

Reorder the terms:
6 + 10x = 2(1 + x)
6 + 10x = (1 * 2 + x * 2)
6 + 10x = (2 + 2x)

Solving
6 + 10x = 2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + 10x + -2x = 2 + 2x + -2x

Combine like terms: 10x + -2x = 8x
6 + 8x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 8x = 2 + 0
6 + 8x = 2

Add '-6' to each side of the equation.
6 + -6 + 8x = 2 + -6

Combine like terms: 6 + -6 = 0
0 + 8x = 2 + -6
8x = 2 + -6

Combine like terms: 2 + -6 = -4
8x = -4

Divide each side by '8'.
x = -0.5

Simplifying
x = -0.5