0.4(x+2)-.07(x+2)=0.3x-0.6

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Solution for 0.4(x+2)-.07(x+2)=0.3x-0.6 equation: 


Simplifying
0.4(x + 2) + -0.07(x + 2) = 0.3x + -0.6

Reorder the terms:
0.4(2 + x) + -0.07(x + 2) = 0.3x + -0.6
(2 * 0.4 + x * 0.4) + -0.07(x + 2) = 0.3x + -0.6
(0.8 + 0.4x) + -0.07(x + 2) = 0.3x + -0.6

Reorder the terms:
0.8 + 0.4x + -0.07(2 + x) = 0.3x + -0.6
0.8 + 0.4x + (2 * -0.07 + x * -0.07) = 0.3x + -0.6
0.8 + 0.4x + (-0.14 + -0.07x) = 0.3x + -0.6

Reorder the terms:
0.8 + -0.14 + 0.4x + -0.07x = 0.3x + -0.6

Combine like terms: 0.8 + -0.14 = 0.66
0.66 + 0.4x + -0.07x = 0.3x + -0.6

Combine like terms: 0.4x + -0.07x = 0.33x
0.66 + 0.33x = 0.3x + -0.6

Reorder the terms:
0.66 + 0.33x = -0.6 + 0.3x

Solving
0.66 + 0.33x = -0.6 + 0.3x

Solving for variable 'x'.

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

Add '-0.3x' to each side of the equation.
0.66 + 0.33x + -0.3x = -0.6 + 0.3x + -0.3x

Combine like terms: 0.33x + -0.3x = 0.03x
0.66 + 0.03x = -0.6 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
0.66 + 0.03x = -0.6 + 0.0
0.66 + 0.03x = -0.6

Add '-0.66' to each side of the equation.
0.66 + -0.66 + 0.03x = -0.6 + -0.66

Combine like terms: 0.66 + -0.66 = 0.00
0.00 + 0.03x = -0.6 + -0.66
0.03x = -0.6 + -0.66

Combine like terms: -0.6 + -0.66 = -1.26
0.03x = -1.26

Divide each side by '0.03'.
x = -42

Simplifying
x = -42

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