3x-5(x-2)=-3+5x-22

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Solution for 3x-5(x-2)=-3+5x-22 equation: 


Simplifying
3x + -5(x + -2) = -3 + 5x + -22

Reorder the terms:
3x + -5(-2 + x) = -3 + 5x + -22
3x + (-2 * -5 + x * -5) = -3 + 5x + -22
3x + (10 + -5x) = -3 + 5x + -22

Reorder the terms:
10 + 3x + -5x = -3 + 5x + -22

Combine like terms: 3x + -5x = -2x
10 + -2x = -3 + 5x + -22

Reorder the terms:
10 + -2x = -3 + -22 + 5x

Combine like terms: -3 + -22 = -25
10 + -2x = -25 + 5x

Solving
10 + -2x = -25 + 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 = -25 + 5x + -5x

Combine like terms: -2x + -5x = -7x
10 + -7x = -25 + 5x + -5x

Combine like terms: 5x + -5x = 0
10 + -7x = -25 + 0
10 + -7x = -25

Add '-10' to each side of the equation.
10 + -10 + -7x = -25 + -10

Combine like terms: 10 + -10 = 0
0 + -7x = -25 + -10
-7x = -25 + -10

Combine like terms: -25 + -10 = -35
-7x = -35

Divide each side by '-7'.
x = 5

Simplifying
x = 5

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