0.3(2x-7)=0.7(9-x)

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Solution for 0.3(2x-7)=0.7(9-x) equation: 


Simplifying
0.3(2x + -7) = 0.7(9 + -1x)

Reorder the terms:
0.3(-7 + 2x) = 0.7(9 + -1x)
(-7 * 0.3 + 2x * 0.3) = 0.7(9 + -1x)
(-2.1 + 0.6x) = 0.7(9 + -1x)
-2.1 + 0.6x = (9 * 0.7 + -1x * 0.7)
-2.1 + 0.6x = (6.3 + -0.7x)

Solving
-2.1 + 0.6x = 6.3 + -0.7x

Solving for variable 'x'.

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

Add '0.7x' to each side of the equation.
-2.1 + 0.6x + 0.7x = 6.3 + -0.7x + 0.7x

Combine like terms: 0.6x + 0.7x = 1.3x
-2.1 + 1.3x = 6.3 + -0.7x + 0.7x

Combine like terms: -0.7x + 0.7x = 0.0
-2.1 + 1.3x = 6.3 + 0.0
-2.1 + 1.3x = 6.3

Add '2.1' to each side of the equation.
-2.1 + 2.1 + 1.3x = 6.3 + 2.1

Combine like terms: -2.1 + 2.1 = 0.0
0.0 + 1.3x = 6.3 + 2.1
1.3x = 6.3 + 2.1

Combine like terms: 6.3 + 2.1 = 8.4
1.3x = 8.4

Divide each side by '1.3'.
x = 6.461538462

Simplifying
x = 6.461538462

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