1.3(x-2)-.5=2(.75x-1)

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Solution for 1.3(x-2)-.5=2(.75x-1) equation: 


Simplifying
1.3(x + -2) + -0.5 = 2(0.75x + -1)

Reorder the terms:
1.3(-2 + x) + -0.5 = 2(0.75x + -1)
(-2 * 1.3 + x * 1.3) + -0.5 = 2(0.75x + -1)
(-2.6 + 1.3x) + -0.5 = 2(0.75x + -1)

Reorder the terms:
-2.6 + -0.5 + 1.3x = 2(0.75x + -1)

Combine like terms: -2.6 + -0.5 = -3.1
-3.1 + 1.3x = 2(0.75x + -1)

Reorder the terms:
-3.1 + 1.3x = 2(-1 + 0.75x)
-3.1 + 1.3x = (-1 * 2 + 0.75x * 2)
-3.1 + 1.3x = (-2 + 1.5x)

Solving
-3.1 + 1.3x = -2 + 1.5x

Solving for variable 'x'.

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

Add '-1.5x' to each side of the equation.
-3.1 + 1.3x + -1.5x = -2 + 1.5x + -1.5x

Combine like terms: 1.3x + -1.5x = -0.2x
-3.1 + -0.2x = -2 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
-3.1 + -0.2x = -2 + 0.0
-3.1 + -0.2x = -2

Add '3.1' to each side of the equation.
-3.1 + 3.1 + -0.2x = -2 + 3.1

Combine like terms: -3.1 + 3.1 = 0.0
0.0 + -0.2x = -2 + 3.1
-0.2x = -2 + 3.1

Combine like terms: -2 + 3.1 = 1.1
-0.2x = 1.1

Divide each side by '-0.2'.
x = -5.5

Simplifying
x = -5.5

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