9-3(x-5)=7-10x

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


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

Reorder the terms:
9 + -3(-5 + x) = 7 + -10x
9 + (-5 * -3 + x * -3) = 7 + -10x
9 + (15 + -3x) = 7 + -10x

Combine like terms: 9 + 15 = 24
24 + -3x = 7 + -10x

Solving
24 + -3x = 7 + -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.
24 + -3x + 10x = 7 + -10x + 10x

Combine like terms: -3x + 10x = 7x
24 + 7x = 7 + -10x + 10x

Combine like terms: -10x + 10x = 0
24 + 7x = 7 + 0
24 + 7x = 7

Add '-24' to each side of the equation.
24 + -24 + 7x = 7 + -24

Combine like terms: 24 + -24 = 0
0 + 7x = 7 + -24
7x = 7 + -24

Combine like terms: 7 + -24 = -17
7x = -17

Divide each side by '7'.
x = -2.428571429

Simplifying
x = -2.428571429

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