How to solve 30 + (4x+2) = 8+6x)

12

Step-by-step explanation:

30 + (4x+2) = 8+6x

30+4x+2=8+6x

32+4x=8+6x

32=8+6x-4x

32=8+2x

2x=32-8

2x=24

x=24/2

x=12

Simplifying

30 + 4x + 2 = 8 + 6x

Reorder the terms:

30 + 2 + 4x = 8 + 6x

Combine like terms: 30 + 2 = 32

32 + 4x = 8 + 6x

Solving

32 + 4x = 8 + 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.

32 + 4x + - 6x = 8 + 6x + - 6x

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

32 + - 2x = 8 + 6x + - 6x

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

32 + - 2x = 8 + 0

32 + - 2x = 8

Add '-32' to each side of the equation.

32 + - 32 + - 2x = 8 + - 32

Combine like terms: 32 + - 32 = 0

0 + - 2x = 8 + - 32

-2x = 8 + - 32

Combine like terms: 8 + - 32 = - 24

-2x = - 24

Divide each side by '-2'.

x = 12

Simplifying

x = 12