2(4(1)+3)=2x+6+3(2x)

Solution for 2(4(1)+3)=2x+6+3(2x) equation:

Simplifying
2(4(1) + 3) = 2x + 6 + 3(2x)

Multiply 4 * 1
2(4 + 3) = 2x + 6 + 3(2x)

Combine like terms: 4 + 3 = 7
2(7) = 2x + 6 + 3(2x)

Multiply 2 * 7
14 = 2x + 6 + 3(2x)

Remove parenthesis around (2x)
14 = 2x + 6 + 3 * 2x

Multiply 3 * 2
14 = 2x + 6 + 6x

Reorder the terms:
14 = 6 + 2x + 6x

Combine like terms: 2x + 6x = 8x
14 = 6 + 8x

Solving
14 = 6 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
14 + -8x = 6 + 8x + -8x

Combine like terms: 8x + -8x = 0
14 + -8x = 6 + 0
14 + -8x = 6

Add '-14' to each side of the equation.
14 + -14 + -8x = 6 + -14

Combine like terms: 14 + -14 = 0
0 + -8x = 6 + -14
-8x = 6 + -14

Combine like terms: 6 + -14 = -8
-8x = -8

Divide each side by '-8'.
x = 1

Simplifying
x = 1