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

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

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

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

Reorder the terms for easier multiplication:
2 + 7x = 3 * 2(1 + x)

Multiply 3 * 2
2 + 7x = 6(1 + x)
2 + 7x = (1 * 6 + x * 6)
2 + 7x = (6 + 6x)

Solving
2 + 7x = 6 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
2 + 7x + -6x = 6 + 6x + -6x

Combine like terms: 7x + -6x = 1x
2 + 1x = 6 + 6x + -6x

Combine like terms: 6x + -6x = 0
2 + 1x = 6 + 0
2 + 1x = 6

Add '-2' to each side of the equation.
2 + -2 + 1x = 6 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 6 + -2
1x = 6 + -2

Combine like terms: 6 + -2 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4