0.3(x+7)=0.2(x-2)

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Solution for 0.3(x+7)=0.2(x-2) equation: 


Simplifying
0.3(x + 7) = 0.2(x + -2)

Reorder the terms:
0.3(7 + x) = 0.2(x + -2)
(7 * 0.3 + x * 0.3) = 0.2(x + -2)
(2.1 + 0.3x) = 0.2(x + -2)

Reorder the terms:
2.1 + 0.3x = 0.2(-2 + x)
2.1 + 0.3x = (-2 * 0.2 + x * 0.2)
2.1 + 0.3x = (-0.4 + 0.2x)

Solving
2.1 + 0.3x = -0.4 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
2.1 + 0.3x + -0.2x = -0.4 + 0.2x + -0.2x

Combine like terms: 0.3x + -0.2x = 0.1x
2.1 + 0.1x = -0.4 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
2.1 + 0.1x = -0.4 + 0.0
2.1 + 0.1x = -0.4

Add '-2.1' to each side of the equation.
2.1 + -2.1 + 0.1x = -0.4 + -2.1

Combine like terms: 2.1 + -2.1 = 0.0
0.0 + 0.1x = -0.4 + -2.1
0.1x = -0.4 + -2.1

Combine like terms: -0.4 + -2.1 = -2.5
0.1x = -2.5

Divide each side by '0.1'.
x = -25

Simplifying
x = -25

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