0.7x-0.1=0.5-0.5(6-3x)

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Solution for 0.7x-0.1=0.5-0.5(6-3x) equation: 


Simplifying
0.7x + -0.1 = 0.5 + -0.5(6 + -3x)

Reorder the terms:
-0.1 + 0.7x = 0.5 + -0.5(6 + -3x)
-0.1 + 0.7x = 0.5 + (6 * -0.5 + -3x * -0.5)
-0.1 + 0.7x = 0.5 + (-3 + 1.5x)

Combine like terms: 0.5 + -3 = -2.5
-0.1 + 0.7x = -2.5 + 1.5x

Solving
-0.1 + 0.7x = -2.5 + 1.5x

Solving for variable 'x'.

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

Add '-1.5x' to each side of the equation.
-0.1 + 0.7x + -1.5x = -2.5 + 1.5x + -1.5x

Combine like terms: 0.7x + -1.5x = -0.8x
-0.1 + -0.8x = -2.5 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
-0.1 + -0.8x = -2.5 + 0.0
-0.1 + -0.8x = -2.5

Add '0.1' to each side of the equation.
-0.1 + 0.1 + -0.8x = -2.5 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + -0.8x = -2.5 + 0.1
-0.8x = -2.5 + 0.1

Combine like terms: -2.5 + 0.1 = -2.4
-0.8x = -2.4

Divide each side by '-0.8'.
x = 3

Simplifying
x = 3

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