x+5+3x-2=7x+10-9x+5

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Solution for x+5+3x-2=7x+10-9x+5 equation:


Simplifying
x + 5 + 3x + -2 = 7x + 10 + -9x + 5

Reorder the terms:
5 + -2 + x + 3x = 7x + 10 + -9x + 5

Combine like terms: 5 + -2 = 3
3 + x + 3x = 7x + 10 + -9x + 5

Combine like terms: x + 3x = 4x
3 + 4x = 7x + 10 + -9x + 5

Reorder the terms:
3 + 4x = 10 + 5 + 7x + -9x

Combine like terms: 10 + 5 = 15
3 + 4x = 15 + 7x + -9x

Combine like terms: 7x + -9x = -2x
3 + 4x = 15 + -2x

Solving
3 + 4x = 15 + -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.
3 + 4x + 2x = 15 + -2x + 2x

Combine like terms: 4x + 2x = 6x
3 + 6x = 15 + -2x + 2x

Combine like terms: -2x + 2x = 0
3 + 6x = 15 + 0
3 + 6x = 15

Add '-3' to each side of the equation.
3 + -3 + 6x = 15 + -3

Combine like terms: 3 + -3 = 0
0 + 6x = 15 + -3
6x = 15 + -3

Combine like terms: 15 + -3 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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