3(3-x)=5(2x+7)

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Solution for 3(3-x)=5(2x+7) equation:


Simplifying
3(3 + -1x) = 5(2x + 7)
(3 * 3 + -1x * 3) = 5(2x + 7)
(9 + -3x) = 5(2x + 7)

Reorder the terms:
9 + -3x = 5(7 + 2x)
9 + -3x = (7 * 5 + 2x * 5)
9 + -3x = (35 + 10x)

Solving
9 + -3x = 35 + 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.
9 + -3x + -10x = 35 + 10x + -10x

Combine like terms: -3x + -10x = -13x
9 + -13x = 35 + 10x + -10x

Combine like terms: 10x + -10x = 0
9 + -13x = 35 + 0
9 + -13x = 35

Add '-9' to each side of the equation.
9 + -9 + -13x = 35 + -9

Combine like terms: 9 + -9 = 0
0 + -13x = 35 + -9
-13x = 35 + -9

Combine like terms: 35 + -9 = 26
-13x = 26

Divide each side by '-13'.
x = -2

Simplifying
x = -2

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