0.3(6+x)=0.4(8-x)

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Solution for 0.3(6+x)=0.4(8-x) equation: 


Simplifying
0.3(6 + x) = 0.4(8 + -1x)
(6 * 0.3 + x * 0.3) = 0.4(8 + -1x)
(1.8 + 0.3x) = 0.4(8 + -1x)
1.8 + 0.3x = (8 * 0.4 + -1x * 0.4)
1.8 + 0.3x = (3.2 + -0.4x)

Solving
1.8 + 0.3x = 3.2 + -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.
1.8 + 0.3x + 0.4x = 3.2 + -0.4x + 0.4x

Combine like terms: 0.3x + 0.4x = 0.7x
1.8 + 0.7x = 3.2 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
1.8 + 0.7x = 3.2 + 0.0
1.8 + 0.7x = 3.2

Add '-1.8' to each side of the equation.
1.8 + -1.8 + 0.7x = 3.2 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + 0.7x = 3.2 + -1.8
0.7x = 3.2 + -1.8

Combine like terms: 3.2 + -1.8 = 1.4
0.7x = 1.4

Divide each side by '0.7'.
x = 2

Simplifying
x = 2

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