x-5=2(4x-3)

Solution for x-5=2(4x-3) equation:

Simplifying
x + -5 = 2(4x + -3)

Reorder the terms:
-5 + x = 2(4x + -3)

Reorder the terms:
-5 + x = 2(-3 + 4x)
-5 + x = (-3 * 2 + 4x * 2)
-5 + x = (-6 + 8x)

Solving
-5 + x = -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.
-5 + x + -8x = -6 + 8x + -8x

Combine like terms: x + -8x = -7x
-5 + -7x = -6 + 8x + -8x

Combine like terms: 8x + -8x = 0
-5 + -7x = -6 + 0
-5 + -7x = -6

Add '5' to each side of the equation.
-5 + 5 + -7x = -6 + 5

Combine like terms: -5 + 5 = 0
0 + -7x = -6 + 5
-7x = -6 + 5

Combine like terms: -6 + 5 = -1
-7x = -1

Divide each side by '-7'.
x = 0.1428571429

Simplifying
x = 0.1428571429