3x+5x-3=7+5x-2x+15

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Solution for 3x+5x-3=7+5x-2x+15 equation:


Simplifying
3x + 5x + -3 = 7 + 5x + -2x + 15

Reorder the terms:
-3 + 3x + 5x = 7 + 5x + -2x + 15

Combine like terms: 3x + 5x = 8x
-3 + 8x = 7 + 5x + -2x + 15

Reorder the terms:
-3 + 8x = 7 + 15 + 5x + -2x

Combine like terms: 7 + 15 = 22
-3 + 8x = 22 + 5x + -2x

Combine like terms: 5x + -2x = 3x
-3 + 8x = 22 + 3x

Solving
-3 + 8x = 22 + 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.
-3 + 8x + -3x = 22 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-3 + 5x = 22 + 3x + -3x

Combine like terms: 3x + -3x = 0
-3 + 5x = 22 + 0
-3 + 5x = 22

Add '3' to each side of the equation.
-3 + 3 + 5x = 22 + 3

Combine like terms: -3 + 3 = 0
0 + 5x = 22 + 3
5x = 22 + 3

Combine like terms: 22 + 3 = 25
5x = 25

Divide each side by '5'.
x = 5

Simplifying
x = 5

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