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

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


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

Reorder the terms:
6(-2 + x) = 3 + -1(x + 1)
(-2 * 6 + x * 6) = 3 + -1(x + 1)
(-12 + 6x) = 3 + -1(x + 1)

Reorder the terms:
-12 + 6x = 3 + -1(1 + x)
-12 + 6x = 3 + (1 * -1 + x * -1)
-12 + 6x = 3 + (-1 + -1x)

Combine like terms: 3 + -1 = 2
-12 + 6x = 2 + -1x

Solving
-12 + 6x = 2 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-12 + 6x + x = 2 + -1x + x

Combine like terms: 6x + x = 7x
-12 + 7x = 2 + -1x + x

Combine like terms: -1x + x = 0
-12 + 7x = 2 + 0
-12 + 7x = 2

Add '12' to each side of the equation.
-12 + 12 + 7x = 2 + 12

Combine like terms: -12 + 12 = 0
0 + 7x = 2 + 12
7x = 2 + 12

Combine like terms: 2 + 12 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2

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