-.1(x-3)=2(.7-.6x)

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Solution for -.1(x-3)=2(.7-.6x) equation: 


Simplifying
-0.1(x + -3) = 2(0.7 + -0.6x)

Reorder the terms:
-0.1(-3 + x) = 2(0.7 + -0.6x)
(-3 * -0.1 + x * -0.1) = 2(0.7 + -0.6x)
(0.3 + -0.1x) = 2(0.7 + -0.6x)
0.3 + -0.1x = (0.7 * 2 + -0.6x * 2)
0.3 + -0.1x = (1.4 + -1.2x)

Solving
0.3 + -0.1x = 1.4 + -1.2x

Solving for variable 'x'.

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

Add '1.2x' to each side of the equation.
0.3 + -0.1x + 1.2x = 1.4 + -1.2x + 1.2x

Combine like terms: -0.1x + 1.2x = 1.1x
0.3 + 1.1x = 1.4 + -1.2x + 1.2x

Combine like terms: -1.2x + 1.2x = 0.0
0.3 + 1.1x = 1.4 + 0.0
0.3 + 1.1x = 1.4

Add '-0.3' to each side of the equation.
0.3 + -0.3 + 1.1x = 1.4 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + 1.1x = 1.4 + -0.3
1.1x = 1.4 + -0.3

Combine like terms: 1.4 + -0.3 = 1.1
1.1x = 1.1

Divide each side by '1.1'.
x = 1

Simplifying
x = 1

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