0.6(x-12)=0.4(0.7+x)

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Solution for 0.6(x-12)=0.4(0.7+x) equation:


Simplifying
0.6(x + -12) = 0.4(0.7 + x)

Reorder the terms:
0.6(-12 + x) = 0.4(0.7 + x)
(-12 * 0.6 + x * 0.6) = 0.4(0.7 + x)
(-7.2 + 0.6x) = 0.4(0.7 + x)
-7.2 + 0.6x = (0.7 * 0.4 + x * 0.4)
-7.2 + 0.6x = (0.28 + 0.4x)

Solving
-7.2 + 0.6x = 0.28 + 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.
-7.2 + 0.6x + -0.4x = 0.28 + 0.4x + -0.4x

Combine like terms: 0.6x + -0.4x = 0.2x
-7.2 + 0.2x = 0.28 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
-7.2 + 0.2x = 0.28 + 0.0
-7.2 + 0.2x = 0.28

Add '7.2' to each side of the equation.
-7.2 + 7.2 + 0.2x = 0.28 + 7.2

Combine like terms: -7.2 + 7.2 = 0.0
0.0 + 0.2x = 0.28 + 7.2
0.2x = 0.28 + 7.2

Combine like terms: 0.28 + 7.2 = 7.48
0.2x = 7.48

Divide each side by '0.2'.
x = 37.4

Simplifying
x = 37.4

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