4x+3(x+2)=3x-2(x-8)

Solution for 4x+3(x+2)=3x-2(x-8) equation:

Simplifying
4x + 3(x + 2) = 3x + -2(x + -8)

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

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

Combine like terms: 4x + 3x = 7x
6 + 7x = 3x + -2(x + -8)

Reorder the terms:
6 + 7x = 3x + -2(-8 + x)
6 + 7x = 3x + (-8 * -2 + x * -2)
6 + 7x = 3x + (16 + -2x)

Reorder the terms:
6 + 7x = 16 + 3x + -2x

Combine like terms: 3x + -2x = 1x
6 + 7x = 16 + 1x

Solving
6 + 7x = 16 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + 7x + -1x = 16 + 1x + -1x

Combine like terms: 7x + -1x = 6x
6 + 6x = 16 + 1x + -1x

Combine like terms: 1x + -1x = 0
6 + 6x = 16 + 0
6 + 6x = 16

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

Combine like terms: 6 + -6 = 0
0 + 6x = 16 + -6
6x = 16 + -6

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

Divide each side by '6'.
x = 1.666666667

Simplifying
x = 1.666666667