.3(2x+15)=13+.4x

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Solution for .3(2x+15)=13+.4x equation:


Simplifying
0.3(2x + 15) = 13 + 0.4x

Reorder the terms:
0.3(15 + 2x) = 13 + 0.4x
(15 * 0.3 + 2x * 0.3) = 13 + 0.4x
(4.5 + 0.6x) = 13 + 0.4x

Solving
4.5 + 0.6x = 13 + 0.4x

Solving for variable 'x'.

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

Add '-0.4x' to each side of the equation.
4.5 + 0.6x + -0.4x = 13 + 0.4x + -0.4x

Combine like terms: 0.6x + -0.4x = 0.2x
4.5 + 0.2x = 13 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
4.5 + 0.2x = 13 + 0.0
4.5 + 0.2x = 13

Add '-4.5' to each side of the equation.
4.5 + -4.5 + 0.2x = 13 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + 0.2x = 13 + -4.5
0.2x = 13 + -4.5

Combine like terms: 13 + -4.5 = 8.5
0.2x = 8.5

Divide each side by '0.2'.
x = 42.5

Simplifying
x = 42.5

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