3(x+1)-5=-3x+10

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Solution for 3(x+1)-5=-3x+10 equation:


Simplifying
3(x + 1) + -5 = -3x + 10

Reorder the terms:
3(1 + x) + -5 = -3x + 10
(1 * 3 + x * 3) + -5 = -3x + 10
(3 + 3x) + -5 = -3x + 10

Reorder the terms:
3 + -5 + 3x = -3x + 10

Combine like terms: 3 + -5 = -2
-2 + 3x = -3x + 10

Reorder the terms:
-2 + 3x = 10 + -3x

Solving
-2 + 3x = 10 + -3x

Solving for variable 'x'.

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

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

Combine like terms: 3x + 3x = 6x
-2 + 6x = 10 + -3x + 3x

Combine like terms: -3x + 3x = 0
-2 + 6x = 10 + 0
-2 + 6x = 10

Add '2' to each side of the equation.
-2 + 2 + 6x = 10 + 2

Combine like terms: -2 + 2 = 0
0 + 6x = 10 + 2
6x = 10 + 2

Combine like terms: 10 + 2 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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