.9(3+x)=.4(3)+x

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


Simplifying
0.9(3 + x) = 0.4(3) + x
(3 * 0.9 + x * 0.9) = 0.4(3) + x
(2.7 + 0.9x) = 0.4(3) + x

Multiply 0.4 * 3
2.7 + 0.9x = 1.2 + x

Solving
2.7 + 0.9x = 1.2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
2.7 + 0.9x + -1x = 1.2 + x + -1x

Combine like terms: 0.9x + -1x = -0.1x
2.7 + -0.1x = 1.2 + x + -1x

Combine like terms: x + -1x = 0
2.7 + -0.1x = 1.2 + 0
2.7 + -0.1x = 1.2

Add '-2.7' to each side of the equation.
2.7 + -2.7 + -0.1x = 1.2 + -2.7

Combine like terms: 2.7 + -2.7 = 0.0
0.0 + -0.1x = 1.2 + -2.7
-0.1x = 1.2 + -2.7

Combine like terms: 1.2 + -2.7 = -1.5
-0.1x = -1.5

Divide each side by '-0.1'.
x = 15

Simplifying
x = 15

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