7x-3=3x+5x-2+8-3x

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Solution for 7x-3=3x+5x-2+8-3x equation:


Simplifying
7x + -3 = 3x + 5x + -2 + 8 + -3x

Reorder the terms:
-3 + 7x = 3x + 5x + -2 + 8 + -3x

Reorder the terms:
-3 + 7x = -2 + 8 + 3x + 5x + -3x

Combine like terms: -2 + 8 = 6
-3 + 7x = 6 + 3x + 5x + -3x

Combine like terms: 3x + 5x = 8x
-3 + 7x = 6 + 8x + -3x

Combine like terms: 8x + -3x = 5x
-3 + 7x = 6 + 5x

Solving
-3 + 7x = 6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-3 + 7x + -5x = 6 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-3 + 2x = 6 + 5x + -5x

Combine like terms: 5x + -5x = 0
-3 + 2x = 6 + 0
-3 + 2x = 6

Add '3' to each side of the equation.
-3 + 3 + 2x = 6 + 3

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

Combine like terms: 6 + 3 = 9
2x = 9

Divide each side by '2'.
x = 4.5

Simplifying
x = 4.5

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