0.3(x+7)=0.5+4(0.2x+0.9)

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Solution for 0.3(x+7)=0.5+4(0.2x+0.9) equation: 


Simplifying
0.3(x + 7) = 0.5 + 4(0.2x + 0.9)

Reorder the terms:
0.3(7 + x) = 0.5 + 4(0.2x + 0.9)
(7 * 0.3 + x * 0.3) = 0.5 + 4(0.2x + 0.9)
(2.1 + 0.3x) = 0.5 + 4(0.2x + 0.9)

Reorder the terms:
2.1 + 0.3x = 0.5 + 4(0.9 + 0.2x)
2.1 + 0.3x = 0.5 + (0.9 * 4 + 0.2x * 4)
2.1 + 0.3x = 0.5 + (3.6 + 0.8x)

Combine like terms: 0.5 + 3.6 = 4.1
2.1 + 0.3x = 4.1 + 0.8x

Solving
2.1 + 0.3x = 4.1 + 0.8x

Solving for variable 'x'.

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

Add '-0.8x' to each side of the equation.
2.1 + 0.3x + -0.8x = 4.1 + 0.8x + -0.8x

Combine like terms: 0.3x + -0.8x = -0.5x
2.1 + -0.5x = 4.1 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
2.1 + -0.5x = 4.1 + 0.0
2.1 + -0.5x = 4.1

Add '-2.1' to each side of the equation.
2.1 + -2.1 + -0.5x = 4.1 + -2.1

Combine like terms: 2.1 + -2.1 = 0.0
0.0 + -0.5x = 4.1 + -2.1
-0.5x = 4.1 + -2.1

Combine like terms: 4.1 + -2.1 = 2
-0.5x = 2

Divide each side by '-0.5'.
x = -4

Simplifying
x = -4

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