10x+9=3x+5-7

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


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

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

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

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

Solving
9 + 10x = -2 + 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.
9 + 10x + -3x = -2 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
9 + 7x = -2 + 0
9 + 7x = -2

Add '-9' to each side of the equation.
9 + -9 + 7x = -2 + -9

Combine like terms: 9 + -9 = 0
0 + 7x = -2 + -9
7x = -2 + -9

Combine like terms: -2 + -9 = -11
7x = -11

Divide each side by '7'.
x = -1.571428571

Simplifying
x = -1.571428571

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