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

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


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

Reorder the terms:
3(-3 + x) + (x + 1) = 2(x + 1) + 2
(-3 * 3 + x * 3) + (x + 1) = 2(x + 1) + 2
(-9 + 3x) + (x + 1) = 2(x + 1) + 2

Reorder the terms:
-9 + 3x + (1 + x) = 2(x + 1) + 2

Remove parenthesis around (1 + x)
-9 + 3x + 1 + x = 2(x + 1) + 2

Reorder the terms:
-9 + 1 + 3x + x = 2(x + 1) + 2

Combine like terms: -9 + 1 = -8
-8 + 3x + x = 2(x + 1) + 2

Combine like terms: 3x + x = 4x
-8 + 4x = 2(x + 1) + 2

Reorder the terms:
-8 + 4x = 2(1 + x) + 2
-8 + 4x = (1 * 2 + x * 2) + 2
-8 + 4x = (2 + 2x) + 2

Reorder the terms:
-8 + 4x = 2 + 2 + 2x

Combine like terms: 2 + 2 = 4
-8 + 4x = 4 + 2x

Solving
-8 + 4x = 4 + 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.
-8 + 4x + -2x = 4 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-8 + 2x = 4 + 2x + -2x

Combine like terms: 2x + -2x = 0
-8 + 2x = 4 + 0
-8 + 2x = 4

Add '8' to each side of the equation.
-8 + 8 + 2x = 4 + 8

Combine like terms: -8 + 8 = 0
0 + 2x = 4 + 8
2x = 4 + 8

Combine like terms: 4 + 8 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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