5x-3+2x+1=8+3x+2

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Solution for 5x-3+2x+1=8+3x+2 equation:


Simplifying
5x + -3 + 2x + 1 = 8 + 3x + 2

Reorder the terms:
-3 + 1 + 5x + 2x = 8 + 3x + 2

Combine like terms: -3 + 1 = -2
-2 + 5x + 2x = 8 + 3x + 2

Combine like terms: 5x + 2x = 7x
-2 + 7x = 8 + 3x + 2

Reorder the terms:
-2 + 7x = 8 + 2 + 3x

Combine like terms: 8 + 2 = 10
-2 + 7x = 10 + 3x

Solving
-2 + 7x = 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 + 7x + -3x = 10 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-2 + 4x = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + 4x = 10 + 0
-2 + 4x = 10

Add '2' to each side of the equation.
-2 + 2 + 4x = 10 + 2

Combine like terms: -2 + 2 = 0
0 + 4x = 10 + 2
4x = 10 + 2

Combine like terms: 10 + 2 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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