3(x+1)-5=12-0.5(6-8)

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Solution for 3(x+1)-5=12-0.5(6-8) equation:


Simplifying
3(x + 1) + -5 = 12 + -0.5(6 + -8)

Reorder the terms:
3(1 + x) + -5 = 12 + -0.5(6 + -8)
(1 * 3 + x * 3) + -5 = 12 + -0.5(6 + -8)
(3 + 3x) + -5 = 12 + -0.5(6 + -8)

Reorder the terms:
3 + -5 + 3x = 12 + -0.5(6 + -8)

Combine like terms: 3 + -5 = -2
-2 + 3x = 12 + -0.5(6 + -8)

Combine like terms: 6 + -8 = -2
-2 + 3x = 12 + -0.5(-2)

Multiply -0.5 * -2
-2 + 3x = 12 + 1

Combine like terms: 12 + 1 = 13
-2 + 3x = 13

Solving
-2 + 3x = 13

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 3x = 13 + 2

Combine like terms: -2 + 2 = 0
0 + 3x = 13 + 2
3x = 13 + 2

Combine like terms: 13 + 2 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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