3x-5(x-2)=9+5x-30

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Solution for 3x-5(x-2)=9+5x-30 equation:


Simplifying
3x + -5(x + -2) = 9 + 5x + -30

Reorder the terms:
3x + -5(-2 + x) = 9 + 5x + -30
3x + (-2 * -5 + x * -5) = 9 + 5x + -30
3x + (10 + -5x) = 9 + 5x + -30

Reorder the terms:
10 + 3x + -5x = 9 + 5x + -30

Combine like terms: 3x + -5x = -2x
10 + -2x = 9 + 5x + -30

Reorder the terms:
10 + -2x = 9 + -30 + 5x

Combine like terms: 9 + -30 = -21
10 + -2x = -21 + 5x

Solving
10 + -2x = -21 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
10 + -2x + -5x = -21 + 5x + -5x

Combine like terms: -2x + -5x = -7x
10 + -7x = -21 + 5x + -5x

Combine like terms: 5x + -5x = 0
10 + -7x = -21 + 0
10 + -7x = -21

Add '-10' to each side of the equation.
10 + -10 + -7x = -21 + -10

Combine like terms: 10 + -10 = 0
0 + -7x = -21 + -10
-7x = -21 + -10

Combine like terms: -21 + -10 = -31
-7x = -31

Divide each side by '-7'.
x = 4.428571429

Simplifying
x = 4.428571429

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