1.3(2x-5)=0.9x+2

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Solution for 1.3(2x-5)=0.9x+2 equation: 


Simplifying
1.3(2x + -5) = 0.9x + 2

Reorder the terms:
1.3(-5 + 2x) = 0.9x + 2
(-5 * 1.3 + 2x * 1.3) = 0.9x + 2
(-6.5 + 2.6x) = 0.9x + 2

Reorder the terms:
-6.5 + 2.6x = 2 + 0.9x

Solving
-6.5 + 2.6x = 2 + 0.9x

Solving for variable 'x'.

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

Add '-0.9x' to each side of the equation.
-6.5 + 2.6x + -0.9x = 2 + 0.9x + -0.9x

Combine like terms: 2.6x + -0.9x = 1.7x
-6.5 + 1.7x = 2 + 0.9x + -0.9x

Combine like terms: 0.9x + -0.9x = 0.0
-6.5 + 1.7x = 2 + 0.0
-6.5 + 1.7x = 2

Add '6.5' to each side of the equation.
-6.5 + 6.5 + 1.7x = 2 + 6.5

Combine like terms: -6.5 + 6.5 = 0.0
0.0 + 1.7x = 2 + 6.5
1.7x = 2 + 6.5

Combine like terms: 2 + 6.5 = 8.5
1.7x = 8.5

Divide each side by '1.7'.
x = 5

Simplifying
x = 5

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