2x-10=1.3(x-9)

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Solution for 2x-10=1.3(x-9) equation:


Simplifying
2x + -10 = 1.3(x + -9)

Reorder the terms:
-10 + 2x = 1.3(x + -9)

Reorder the terms:
-10 + 2x = 1.3(-9 + x)
-10 + 2x = (-9 * 1.3 + x * 1.3)
-10 + 2x = (-11.7 + 1.3x)

Solving
-10 + 2x = -11.7 + 1.3x

Solving for variable 'x'.

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

Add '-1.3x' to each side of the equation.
-10 + 2x + -1.3x = -11.7 + 1.3x + -1.3x

Combine like terms: 2x + -1.3x = 0.7x
-10 + 0.7x = -11.7 + 1.3x + -1.3x

Combine like terms: 1.3x + -1.3x = 0.0
-10 + 0.7x = -11.7 + 0.0
-10 + 0.7x = -11.7

Add '10' to each side of the equation.
-10 + 10 + 0.7x = -11.7 + 10

Combine like terms: -10 + 10 = 0
0 + 0.7x = -11.7 + 10
0.7x = -11.7 + 10

Combine like terms: -11.7 + 10 = -1.7
0.7x = -1.7

Divide each side by '0.7'.
x = -2.428571429

Simplifying
x = -2.428571429

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