10(1-0.3x)-(x-1)=12

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Solution for 10(1-0.3x)-(x-1)=12 equation: 


Simplifying
10(1 + -0.3x) + -1(x + -1) = 12
(1 * 10 + -0.3x * 10) + -1(x + -1) = 12
(10 + -3x) + -1(x + -1) = 12

Reorder the terms:
10 + -3x + -1(-1 + x) = 12
10 + -3x + (-1 * -1 + x * -1) = 12
10 + -3x + (1 + -1x) = 12

Reorder the terms:
10 + 1 + -3x + -1x = 12

Combine like terms: 10 + 1 = 11
11 + -3x + -1x = 12

Combine like terms: -3x + -1x = -4x
11 + -4x = 12

Solving
11 + -4x = 12

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + -4x = 12 + -11

Combine like terms: 11 + -11 = 0
0 + -4x = 12 + -11
-4x = 12 + -11

Combine like terms: 12 + -11 = 1
-4x = 1

Divide each side by '-4'.
x = -0.25

Simplifying
x = -0.25

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