2x-10=0.3(x-9)

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Solution for 2x-10=0.3(x-9) equation: 


Simplifying
2x + -10 = 0.3(x + -9)

Reorder the terms:
-10 + 2x = 0.3(x + -9)

Reorder the terms:
-10 + 2x = 0.3(-9 + x)
-10 + 2x = (-9 * 0.3 + x * 0.3)
-10 + 2x = (-2.7 + 0.3x)

Solving
-10 + 2x = -2.7 + 0.3x

Solving for variable 'x'.

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

Add '-0.3x' to each side of the equation.
-10 + 2x + -0.3x = -2.7 + 0.3x + -0.3x

Combine like terms: 2x + -0.3x = 1.7x
-10 + 1.7x = -2.7 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
-10 + 1.7x = -2.7 + 0.0
-10 + 1.7x = -2.7

Add '10' to each side of the equation.
-10 + 10 + 1.7x = -2.7 + 10

Combine like terms: -10 + 10 = 0
0 + 1.7x = -2.7 + 10
1.7x = -2.7 + 10

Combine like terms: -2.7 + 10 = 7.3
1.7x = 7.3

Divide each side by '1.7'.
x = 4.294117647

Simplifying
x = 4.294117647

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