.3(9x-3)+.4(10x-25)=10

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Solution for .3(9x-3)+.4(10x-25)=10 equation: 


Simplifying
0.3(9x + -3) + 0.4(10x + -25) = 10

Reorder the terms:
0.3(-3 + 9x) + 0.4(10x + -25) = 10
(-3 * 0.3 + 9x * 0.3) + 0.4(10x + -25) = 10
(-0.9 + 2.7x) + 0.4(10x + -25) = 10

Reorder the terms:
-0.9 + 2.7x + 0.4(-25 + 10x) = 10
-0.9 + 2.7x + (-25 * 0.4 + 10x * 0.4) = 10
-0.9 + 2.7x + (-10 + 4x) = 10

Reorder the terms:
-0.9 + -10 + 2.7x + 4x = 10

Combine like terms: -0.9 + -10 = -10.9
-10.9 + 2.7x + 4x = 10

Combine like terms: 2.7x + 4x = 6.7x
-10.9 + 6.7x = 10

Solving
-10.9 + 6.7x = 10

Solving for variable 'x'.

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

Add '10.9' to each side of the equation.
-10.9 + 10.9 + 6.7x = 10 + 10.9

Combine like terms: -10.9 + 10.9 = 0.0
0.0 + 6.7x = 10 + 10.9
6.7x = 10 + 10.9

Combine like terms: 10 + 10.9 = 20.9
6.7x = 20.9

Divide each side by '6.7'.
x = 3.119402985

Simplifying
x = 3.119402985

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