0.3x-0.1(1-4x)=-0.5(x-7)

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Solution for 0.3x-0.1(1-4x)=-0.5(x-7) equation: 


Simplifying
0.3x + -0.1(1 + -4x) = -0.5(x + -7)
0.3x + (1 * -0.1 + -4x * -0.1) = -0.5(x + -7)
0.3x + (-0.1 + 0.4x) = -0.5(x + -7)

Reorder the terms:
-0.1 + 0.3x + 0.4x = -0.5(x + -7)

Combine like terms: 0.3x + 0.4x = 0.7x
-0.1 + 0.7x = -0.5(x + -7)

Reorder the terms:
-0.1 + 0.7x = -0.5(-7 + x)
-0.1 + 0.7x = (-7 * -0.5 + x * -0.5)
-0.1 + 0.7x = (3.5 + -0.5x)

Solving
-0.1 + 0.7x = 3.5 + -0.5x

Solving for variable 'x'.

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

Add '0.5x' to each side of the equation.
-0.1 + 0.7x + 0.5x = 3.5 + -0.5x + 0.5x

Combine like terms: 0.7x + 0.5x = 1.2x
-0.1 + 1.2x = 3.5 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
-0.1 + 1.2x = 3.5 + 0.0
-0.1 + 1.2x = 3.5

Add '0.1' to each side of the equation.
-0.1 + 0.1 + 1.2x = 3.5 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + 1.2x = 3.5 + 0.1
1.2x = 3.5 + 0.1

Combine like terms: 3.5 + 0.1 = 3.6
1.2x = 3.6

Divide each side by '1.2'.
x = 3

Simplifying
x = 3

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