.4(x+7)=.6(x-4.2)

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Solution for .4(x+7)=.6(x-4.2) equation: 


Simplifying
0.4(x + 7) = 0.6(x + -4.2)

Reorder the terms:
0.4(7 + x) = 0.6(x + -4.2)
(7 * 0.4 + x * 0.4) = 0.6(x + -4.2)
(2.8 + 0.4x) = 0.6(x + -4.2)

Reorder the terms:
2.8 + 0.4x = 0.6(-4.2 + x)
2.8 + 0.4x = (-4.2 * 0.6 + x * 0.6)
2.8 + 0.4x = (-2.52 + 0.6x)

Solving
2.8 + 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.
2.8 + 0.4x + -0.6x = -2.52 + 0.6x + -0.6x

Combine like terms: 0.4x + -0.6x = -0.2x
2.8 + -0.2x = -2.52 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
2.8 + -0.2x = -2.52 + 0.0
2.8 + -0.2x = -2.52

Add '-2.8' to each side of the equation.
2.8 + -2.8 + -0.2x = -2.52 + -2.8

Combine like terms: 2.8 + -2.8 = 0.0
0.0 + -0.2x = -2.52 + -2.8
-0.2x = -2.52 + -2.8

Combine like terms: -2.52 + -2.8 = -5.32
-0.2x = -5.32

Divide each side by '-0.2'.
x = 26.6

Simplifying
x = 26.6

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