0.5x-0.1(1-3x)=-0.3(x-7)

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Solution for 0.5x-0.1(1-3x)=-0.3(x-7) equation: 


Simplifying
0.5x + -0.1(1 + -3x) = -0.3(x + -7)
0.5x + (1 * -0.1 + -3x * -0.1) = -0.3(x + -7)
0.5x + (-0.1 + 0.3x) = -0.3(x + -7)

Reorder the terms:
-0.1 + 0.5x + 0.3x = -0.3(x + -7)

Combine like terms: 0.5x + 0.3x = 0.8x
-0.1 + 0.8x = -0.3(x + -7)

Reorder the terms:
-0.1 + 0.8x = -0.3(-7 + x)
-0.1 + 0.8x = (-7 * -0.3 + x * -0.3)
-0.1 + 0.8x = (2.1 + -0.3x)

Solving
-0.1 + 0.8x = 2.1 + -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.
-0.1 + 0.8x + 0.3x = 2.1 + -0.3x + 0.3x

Combine like terms: 0.8x + 0.3x = 1.1x
-0.1 + 1.1x = 2.1 + -0.3x + 0.3x

Combine like terms: -0.3x + 0.3x = 0.0
-0.1 + 1.1x = 2.1 + 0.0
-0.1 + 1.1x = 2.1

Add '0.1' to each side of the equation.
-0.1 + 0.1 + 1.1x = 2.1 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + 1.1x = 2.1 + 0.1
1.1x = 2.1 + 0.1

Combine like terms: 2.1 + 0.1 = 2.2
1.1x = 2.2

Divide each side by '1.1'.
x = 2

Simplifying
x = 2

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