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

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


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

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

Combine like terms: 9 + 9 = 18
18 + -3x = 2x + -7

Reorder the terms:
18 + -3x = -7 + 2x

Solving
18 + -3x = -7 + 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.
18 + -3x + -2x = -7 + 2x + -2x

Combine like terms: -3x + -2x = -5x
18 + -5x = -7 + 2x + -2x

Combine like terms: 2x + -2x = 0
18 + -5x = -7 + 0
18 + -5x = -7

Add '-18' to each side of the equation.
18 + -18 + -5x = -7 + -18

Combine like terms: 18 + -18 = 0
0 + -5x = -7 + -18
-5x = -7 + -18

Combine like terms: -7 + -18 = -25
-5x = -25

Divide each side by '-5'.
x = 5

Simplifying
x = 5

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