9-7(x-3)=2x-10

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Solution for 9-7(x-3)=2x-10 equation:


Simplifying
9 + -7(x + -3) = 2x + -10

Reorder the terms:
9 + -7(-3 + x) = 2x + -10
9 + (-3 * -7 + x * -7) = 2x + -10
9 + (21 + -7x) = 2x + -10

Combine like terms: 9 + 21 = 30
30 + -7x = 2x + -10

Reorder the terms:
30 + -7x = -10 + 2x

Solving
30 + -7x = -10 + 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.
30 + -7x + -2x = -10 + 2x + -2x

Combine like terms: -7x + -2x = -9x
30 + -9x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
30 + -9x = -10 + 0
30 + -9x = -10

Add '-30' to each side of the equation.
30 + -30 + -9x = -10 + -30

Combine like terms: 30 + -30 = 0
0 + -9x = -10 + -30
-9x = -10 + -30

Combine like terms: -10 + -30 = -40
-9x = -40

Divide each side by '-9'.
x = 4.444444444

Simplifying
x = 4.444444444

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