6+2(8x-3)=5-8(2x-5)

Solution for 6+2(8x-3)=5-8(2x-5) equation:

Simplifying
6 + 2(8x + -3) = 5 + -8(2x + -5)

Reorder the terms:
6 + 2(-3 + 8x) = 5 + -8(2x + -5)
6 + (-3 * 2 + 8x * 2) = 5 + -8(2x + -5)
6 + (-6 + 16x) = 5 + -8(2x + -5)

Combine like terms: 6 + -6 = 0
0 + 16x = 5 + -8(2x + -5)
16x = 5 + -8(2x + -5)

Reorder the terms:
16x = 5 + -8(-5 + 2x)
16x = 5 + (-5 * -8 + 2x * -8)
16x = 5 + (40 + -16x)

Combine like terms: 5 + 40 = 45
16x = 45 + -16x

Solving
16x = 45 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
16x + 16x = 45 + -16x + 16x

Combine like terms: 16x + 16x = 32x
32x = 45 + -16x + 16x

Combine like terms: -16x + 16x = 0
32x = 45 + 0
32x = 45

Divide each side by '32'.
x = 1.40625

Simplifying
x = 1.40625