x-1=2(x-4.5)

Solution for x-1=2(x-4.5) equation:

Simplifying
x + -1 = 2(x + -4.5)

Reorder the terms:
-1 + x = 2(x + -4.5)

Reorder the terms:
-1 + x = 2(-4.5 + x)
-1 + x = (-4.5 * 2 + x * 2)
-1 + x = (-9 + 2x)

Solving
-1 + x = -9 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-1 + x + -2x = -9 + 2x + -2x

Combine like terms: x + -2x = -1x
-1 + -1x = -9 + 2x + -2x

Combine like terms: 2x + -2x = 0
-1 + -1x = -9 + 0
-1 + -1x = -9

Add '1' to each side of the equation.
-1 + 1 + -1x = -9 + 1

Combine like terms: -1 + 1 = 0
0 + -1x = -9 + 1
-1x = -9 + 1

Combine like terms: -9 + 1 = -8
-1x = -8

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

Simplifying
x = 8