10-4(x-1)=x-2

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Solution for 10-4(x-1)=x-2 equation:


Simplifying
10 + -4(x + -1) = x + -2

Reorder the terms:
10 + -4(-1 + x) = x + -2
10 + (-1 * -4 + x * -4) = x + -2
10 + (4 + -4x) = x + -2

Combine like terms: 10 + 4 = 14
14 + -4x = x + -2

Reorder the terms:
14 + -4x = -2 + x

Solving
14 + -4x = -2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
14 + -4x + -1x = -2 + x + -1x

Combine like terms: -4x + -1x = -5x
14 + -5x = -2 + x + -1x

Combine like terms: x + -1x = 0
14 + -5x = -2 + 0
14 + -5x = -2

Add '-14' to each side of the equation.
14 + -14 + -5x = -2 + -14

Combine like terms: 14 + -14 = 0
0 + -5x = -2 + -14
-5x = -2 + -14

Combine like terms: -2 + -14 = -16
-5x = -16

Divide each side by '-5'.
x = 3.2

Simplifying
x = 3.2

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