0.4(x+.07)=.06(x-4.2)

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Solution for 0.4(x+.07)=.06(x-4.2) equation: 


Simplifying
0.4(x + 0.07) = 0.06(x + -4.2)

Reorder the terms:
0.4(0.07 + x) = 0.06(x + -4.2)
(0.07 * 0.4 + x * 0.4) = 0.06(x + -4.2)
(0.028 + 0.4x) = 0.06(x + -4.2)

Reorder the terms:
0.028 + 0.4x = 0.06(-4.2 + x)
0.028 + 0.4x = (-4.2 * 0.06 + x * 0.06)
0.028 + 0.4x = (-0.252 + 0.06x)

Solving
0.028 + 0.4x = -0.252 + 0.06x

Solving for variable 'x'.

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

Add '-0.06x' to each side of the equation.
0.028 + 0.4x + -0.06x = -0.252 + 0.06x + -0.06x

Combine like terms: 0.4x + -0.06x = 0.34x
0.028 + 0.34x = -0.252 + 0.06x + -0.06x

Combine like terms: 0.06x + -0.06x = 0.00
0.028 + 0.34x = -0.252 + 0.00
0.028 + 0.34x = -0.252

Add '-0.028' to each side of the equation.
0.028 + -0.028 + 0.34x = -0.252 + -0.028

Combine like terms: 0.028 + -0.028 = 0.000
0.000 + 0.34x = -0.252 + -0.028
0.34x = -0.252 + -0.028

Combine like terms: -0.252 + -0.028 = -0.28
0.34x = -0.28

Divide each side by '0.34'.
x = -0.8235294118

Simplifying
x = -0.8235294118

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