2(3x+4)+34=7x

Solution for 2(3x+4)+34=7x equation:

Simplifying
2(3x + 4) + 34 = 7x

Reorder the terms:
2(4 + 3x) + 34 = 7x
(4 * 2 + 3x * 2) + 34 = 7x
(8 + 6x) + 34 = 7x

Reorder the terms:
8 + 34 + 6x = 7x

Combine like terms: 8 + 34 = 42
42 + 6x = 7x

Solving
42 + 6x = 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.
42 + 6x + -7x = 7x + -7x

Combine like terms: 6x + -7x = -1x
42 + -1x = 7x + -7x

Combine like terms: 7x + -7x = 0
42 + -1x = 0

Add '-42' to each side of the equation.
42 + -42 + -1x = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -1x = 0 + -42
-1x = 0 + -42

Combine like terms: 0 + -42 = -42
-1x = -42

Divide each side by '-1'.
x = 42

Simplifying
x = 42