16x+6=4(2x-3)+2(x+4)

Solution for 16x+6=4(2x-3)+2(x+4) equation:

Simplifying
16x + 6 = 4(2x + -3) + 2(x + 4)

Reorder the terms:
6 + 16x = 4(2x + -3) + 2(x + 4)

Reorder the terms:
6 + 16x = 4(-3 + 2x) + 2(x + 4)
6 + 16x = (-3 * 4 + 2x * 4) + 2(x + 4)
6 + 16x = (-12 + 8x) + 2(x + 4)

Reorder the terms:
6 + 16x = -12 + 8x + 2(4 + x)
6 + 16x = -12 + 8x + (4 * 2 + x * 2)
6 + 16x = -12 + 8x + (8 + 2x)

Reorder the terms:
6 + 16x = -12 + 8 + 8x + 2x

Combine like terms: -12 + 8 = -4
6 + 16x = -4 + 8x + 2x

Combine like terms: 8x + 2x = 10x
6 + 16x = -4 + 10x

Solving
6 + 16x = -4 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
6 + 16x + -10x = -4 + 10x + -10x

Combine like terms: 16x + -10x = 6x
6 + 6x = -4 + 10x + -10x

Combine like terms: 10x + -10x = 0
6 + 6x = -4 + 0
6 + 6x = -4

Add '-6' to each side of the equation.
6 + -6 + 6x = -4 + -6

Combine like terms: 6 + -6 = 0
0 + 6x = -4 + -6
6x = -4 + -6

Combine like terms: -4 + -6 = -10
6x = -10

Divide each side by '6'.
x = -1.666666667

Simplifying
x = -1.666666667