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

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


Simplifying
-3(3 + -1x) = 2(x + -7)
(3 * -3 + -1x * -3) = 2(x + -7)
(-9 + 3x) = 2(x + -7)

Reorder the terms:
-9 + 3x = 2(-7 + x)
-9 + 3x = (-7 * 2 + x * 2)
-9 + 3x = (-14 + 2x)

Solving
-9 + 3x = -14 + 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.
-9 + 3x + -2x = -14 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-9 + 1x = -14 + 2x + -2x

Combine like terms: 2x + -2x = 0
-9 + 1x = -14 + 0
-9 + 1x = -14

Add '9' to each side of the equation.
-9 + 9 + 1x = -14 + 9

Combine like terms: -9 + 9 = 0
0 + 1x = -14 + 9
1x = -14 + 9

Combine like terms: -14 + 9 = -5
1x = -5

Divide each side by '1'.
x = -5

Simplifying
x = -5

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