3(x-1)-1*6=2(x+5)

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Solution for 3(x-1)-1*6=2(x+5) equation:


Simplifying
3(x + -1) + -1 * 6 = 2(x + 5)

Reorder the terms:
3(-1 + x) + -1 * 6 = 2(x + 5)
(-1 * 3 + x * 3) + -1 * 6 = 2(x + 5)
(-3 + 3x) + -1 * 6 = 2(x + 5)

Multiply -1 * 6
-3 + 3x + -6 = 2(x + 5)

Reorder the terms:
-3 + -6 + 3x = 2(x + 5)

Combine like terms: -3 + -6 = -9
-9 + 3x = 2(x + 5)

Reorder the terms:
-9 + 3x = 2(5 + x)
-9 + 3x = (5 * 2 + x * 2)
-9 + 3x = (10 + 2x)

Solving
-9 + 3x = 10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-9 + 3x + -2x = 10 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-9 + 1x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-9 + 1x = 10 + 0
-9 + 1x = 10

Add '9' to each side of the equation.
-9 + 9 + 1x = 10 + 9

Combine like terms: -9 + 9 = 0
0 + 1x = 10 + 9
1x = 10 + 9

Combine like terms: 10 + 9 = 19
1x = 19

Divide each side by '1'.
x = 19

Simplifying
x = 19

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