0.6(x-4.2)=0.4(x+0.7)

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Solution for 0.6(x-4.2)=0.4(x+0.7) equation: 


Simplifying
0.6(x + -4.2) = 0.4(x + 0.7)

Reorder the terms:
0.6(-4.2 + x) = 0.4(x + 0.7)
(-4.2 * 0.6 + x * 0.6) = 0.4(x + 0.7)
(-2.52 + 0.6x) = 0.4(x + 0.7)

Reorder the terms:
-2.52 + 0.6x = 0.4(0.7 + x)
-2.52 + 0.6x = (0.7 * 0.4 + x * 0.4)
-2.52 + 0.6x = (0.28 + 0.4x)

Solving
-2.52 + 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.
-2.52 + 0.6x + -0.4x = 0.28 + 0.4x + -0.4x

Combine like terms: 0.6x + -0.4x = 0.2x
-2.52 + 0.2x = 0.28 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
-2.52 + 0.2x = 0.28 + 0.0
-2.52 + 0.2x = 0.28

Add '2.52' to each side of the equation.
-2.52 + 2.52 + 0.2x = 0.28 + 2.52

Combine like terms: -2.52 + 2.52 = 0.00
0.00 + 0.2x = 0.28 + 2.52
0.2x = 0.28 + 2.52

Combine like terms: 0.28 + 2.52 = 2.8
0.2x = 2.8

Divide each side by '0.2'.
x = 14

Simplifying
x = 14

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