x+3x+3=5x+2x+8

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


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

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

Combine like terms: x + 3x = 4x
3 + 4x = 5x + 2x + 8

Reorder the terms:
3 + 4x = 8 + 5x + 2x

Combine like terms: 5x + 2x = 7x
3 + 4x = 8 + 7x

Solving
3 + 4x = 8 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
3 + 4x + -7x = 8 + 7x + -7x

Combine like terms: 4x + -7x = -3x
3 + -3x = 8 + 7x + -7x

Combine like terms: 7x + -7x = 0
3 + -3x = 8 + 0
3 + -3x = 8

Add '-3' to each side of the equation.
3 + -3 + -3x = 8 + -3

Combine like terms: 3 + -3 = 0
0 + -3x = 8 + -3
-3x = 8 + -3

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

Divide each side by '-3'.
x = -1.666666667

Simplifying
x = -1.666666667

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