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

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


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

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

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

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

Solving
5 + 9x = -2 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
5 + 9x + -10x = -2 + 10x + -10x

Combine like terms: 9x + -10x = -1x
5 + -1x = -2 + 10x + -10x

Combine like terms: 10x + -10x = 0
5 + -1x = -2 + 0
5 + -1x = -2

Add '-5' to each side of the equation.
5 + -5 + -1x = -2 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = -2 + -5
-1x = -2 + -5

Combine like terms: -2 + -5 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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