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

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


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

Reorder the terms:
6(2 + x) + -1(x + 3) = 5
(2 * 6 + x * 6) + -1(x + 3) = 5
(12 + 6x) + -1(x + 3) = 5

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

Reorder the terms:
12 + -3 + 6x + -1x = 5

Combine like terms: 12 + -3 = 9
9 + 6x + -1x = 5

Combine like terms: 6x + -1x = 5x
9 + 5x = 5

Solving
9 + 5x = 5

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 5x = 5 + -9

Combine like terms: 9 + -9 = 0
0 + 5x = 5 + -9
5x = 5 + -9

Combine like terms: 5 + -9 = -4
5x = -4

Divide each side by '5'.
x = -0.8

Simplifying
x = -0.8

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