0.4(x+7)=0.3x-0.2

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Solution for 0.4(x+7)=0.3x-0.2 equation:


Simplifying
0.4(x + 7) = 0.3x + -0.2

Reorder the terms:
0.4(7 + x) = 0.3x + -0.2
(7 * 0.4 + x * 0.4) = 0.3x + -0.2
(2.8 + 0.4x) = 0.3x + -0.2

Reorder the terms:
2.8 + 0.4x = -0.2 + 0.3x

Solving
2.8 + 0.4x = -0.2 + 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.
2.8 + 0.4x + -0.3x = -0.2 + 0.3x + -0.3x

Combine like terms: 0.4x + -0.3x = 0.1x
2.8 + 0.1x = -0.2 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
2.8 + 0.1x = -0.2 + 0.0
2.8 + 0.1x = -0.2

Add '-2.8' to each side of the equation.
2.8 + -2.8 + 0.1x = -0.2 + -2.8

Combine like terms: 2.8 + -2.8 = 0.0
0.0 + 0.1x = -0.2 + -2.8
0.1x = -0.2 + -2.8

Combine like terms: -0.2 + -2.8 = -3
0.1x = -3

Divide each side by '0.1'.
x = -30

Simplifying
x = -30

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