.4(x+.7)=0.6(x-4.2)

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Solution for .4(x+.7)=0.6(x-4.2) equation: 


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

Reorder the terms:
0.4(0.7 + x) = 0.6(x + -4.2)
(0.7 * 0.4 + x * 0.4) = 0.6(x + -4.2)
(0.28 + 0.4x) = 0.6(x + -4.2)

Reorder the terms:
0.28 + 0.4x = 0.6(-4.2 + x)
0.28 + 0.4x = (-4.2 * 0.6 + x * 0.6)
0.28 + 0.4x = (-2.52 + 0.6x)

Solving
0.28 + 0.4x = -2.52 + 0.6x

Solving for variable 'x'.

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

Add '-0.6x' to each side of the equation.
0.28 + 0.4x + -0.6x = -2.52 + 0.6x + -0.6x

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

Combine like terms: 0.6x + -0.6x = 0.0
0.28 + -0.2x = -2.52 + 0.0
0.28 + -0.2x = -2.52

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

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

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

Divide each side by '-0.2'.
x = 14

Simplifying
x = 14

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