6(x-1)-(x-2)=-18

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Solution for 6(x-1)-(x-2)=-18 equation:


Simplifying
6(x + -1) + -1(x + -2) = -18

Reorder the terms:
6(-1 + x) + -1(x + -2) = -18
(-1 * 6 + x * 6) + -1(x + -2) = -18
(-6 + 6x) + -1(x + -2) = -18

Reorder the terms:
-6 + 6x + -1(-2 + x) = -18
-6 + 6x + (-2 * -1 + x * -1) = -18
-6 + 6x + (2 + -1x) = -18

Reorder the terms:
-6 + 2 + 6x + -1x = -18

Combine like terms: -6 + 2 = -4
-4 + 6x + -1x = -18

Combine like terms: 6x + -1x = 5x
-4 + 5x = -18

Solving
-4 + 5x = -18

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 5x = -18 + 4

Combine like terms: -4 + 4 = 0
0 + 5x = -18 + 4
5x = -18 + 4

Combine like terms: -18 + 4 = -14
5x = -14

Divide each side by '5'.
x = -2.8

Simplifying
x = -2.8

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